01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date:
24.01.1961
E-mail:
,
Keywords:
inequalities, integral operators, transmutations, special functions, numerical methods, approximation of functions.
UDC:
517.926.4, 517.968.25
Subject:
1. Transmutation operators.
2. Integral operators with special function kernels.
3. Classical inequalities.
4. Special functions and their inequalities.
Main publications:
Elina Shishkina, Sergei Sitnik, Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics, Mathematics in Science and Engineering, Elsevier. Academic Press, 2020 , 592 pp. https://www.elsevier.com/books/transmutations-singular-and-fractional-differential-equations-with-applications-to-mathematical-physics/shishkina/978-0-12-819781-3
V. V. Kravchenko, S. M. Sitnik, Transmutation Operators and Applications, Trends in Mathematics, eds. Kravchenko, Vladislav, Sitnik, Sergei M., Birkhauser, Springer Nature Switzerland AG, Basel, 2020 , XVII, 686 pp. https://www.springer.com/gp/book/9783030359133
S. M. Sitnik, E. L. Shishkina, Metod operatorov preobrazovaniya dlya differentsialnykh uravnenii s operatorami Besselya, Fizmatlit, Moskva, 2019 , 224 pp.
Valeriy V. Katrakhov, Sergey M. Sitnik, “Transmutation Method and Boundary-Value Problems for Singular Elliptic Equations”, English translation by Professor A.B.Muravnik, arxiv.org, 2022, 1–207 https://doi.org/10.48550/arXiv.2210.02246
S.M. Sitnik, A.S. Timashov, S.N. Ushakov, “On the Correctness of Finite-Rank Approximations by Series of Shifted Gaussians”, Lobachevskii Journal Of Mathematics, 41:3 (2020), 423-429 https://link.springer.com/article/10.1134/S1995080220030166, arXiv: 2007.02694
Fitouhi A., Jebabli I., Shishkina E.L., Sitnik S.M., “Applications of integral transforms composition method to wave-type singular differential equations and index shift transmutations”, Electron. J. Differential Equations, 2018 (2018), 130 , 27 pp. https://ejde.math.txstate.edu/Volumes/2018/130/abstr.html, arXiv: https://arxiv.org/abs/1805.06925}{https://arxiv.org/abs/1805.06925}
S. M. Sitnik, Kh. Mehrez, “Proofs of some conjectures on monotonicity of ratios of Kummer, Gauss and generalized hypergeometric functions”, Analysis (De Gruyter), 36:4 (2016), 263–268 https://www.degruyter.com/view/j/anly.2016.36.issue-4/anly-2015-0029/anly-2015-0029.xml?format=INT
S.M. Sitnik, Generalized Young and Cauchy-Bunyakowsky Inequalities with Applications: a survey, 2010 , 51 pp., arXiv: arXiv:1012.3864
D.Karp, S.M.Sitnik, “Log-convexity and log-concavity of hypergeometric-like functions”, Journal of Mathematical Analysis and Applications, 364 (2010), P. 384-–394. , arXiv: 0902.3073v1
Sitnik S.M., “Inequalities for Bessel functions”, Dokl. Math. of the Russian Academy of Sciences, 51:1 (1995), 25–28
S. M. Sitnik, “Faktorizatsiya i otsenki norm v vesovykh lebegovykh prostranstvakh operatorov Bushmana–Erdeii”, (predstavlena akademikom S. M. Nikolskim), Doklady Akademii Nauk SSSR, 320:6 (1991), 1326–1330; S. M. Sitnik, “Factorization and estimates of the norms of Buschman-Erdelyi operators in weighted Lebesgue spaces”, Soviet Mathematics Doklades. Soviet Academy of Sciences,, 44:2 (1992), 641–646
Katrakhov V.V., Sitnik S.M., “A boundary–value problem for the steady-state Schrodinger equation with a singular potential”, Soviet Math. Dokl., 30:2 (1984), 468–470
Math. Notes, 115:5 (2024), 789–799 , Translated from Prikladnaya Matematika i Fizika, 2023, Vol. 55, No. 3, pp. 248–257 https://doi.org/10.52575/2687-0959-2023-55-3-248-257.
2.
S. M. Sitnik, M. V. Polovinkina, I. P. Polovinkin, “On recovery of the solution to the Cauchy problem for the singular heat equation”, Functional spaces. Differential operators. Problems of mathematics education, CMFD, 70, no. 1, PFUR, M., 2024, 173–187
3.
Khaled Mehrez, Kamel Brahim, Sergei M. Sitnik, “Class of bounds of the generalized Volterra functions”, Mathematica Slovaca, 74:2 (2024), 173–187 , Published by De Gruyter https://www.degruyter.com/document/doi/10.1515/ms-2024-0028/html
4.
Sergey Sitnik, Khitam Alzamili, Abdul Qudosi & Elina Shishkina, “Vekua-Erdelyi-Lowndes Type Transmutation and Applications”, Journal of Mathematical Sciences, 281:6 (2024), 938–945
5.
Sergey Sitnik, Oksana Skoromnik, “Multi-Dimensional Integral Transform with Fox Function in Kernel in Lebesgue-Type Spaces”, Mathematics, MDPI, 12:12, This article belongs to the Special Issue Direct and Inverse Spectral Problems for Ordinary Differential and Functional-Differential Operators, Guest Editor - N.P. Bondarenko (2024), 1829 , 10 pp. https://www.mdpi.com/2227-7390/12/12/1829, arXiv: https://www.preprints.org/manuscript/202404.0536/v1
6.
S. M. Sitnik, “On Absolutely Monotonic Functions And Some Inequalities for Special Functions”, Global and Stochastic Analysis, 11:4 (2024), 94–102 https://www.mukpublications.com/resources/gsa
7.
Sergei M. Sitnik; Shakhobiddin T. Karimov, “Solution of the Goursat Problem for a Fourth-Order Hyperbolic Equation with Singular Coefficients by the Method of Transmutation Operators”, Mathematics (MDPI), 11(4), (This article belongs to the Special Issue Analytical and Computational Methods in Differential Equations, Special Functions, Transmutations and Integral Transforms, Special Issue guest editor- S.M.Sitnik). (2023), 951 , 10 pp. https://www.mdpi.com/2227-7390/11/4/951
Ravshan Ashurov; Sergei Sitnik, “Identification of the Order of the Fractional Derivative for the Fractional Wave Equation”, Fractal and Fractional, 7(1) (2023), 67 , 14 pp. https://www.mdpi.com/2504-3110/7/1/67
Sitnik S.M., Fedorov V.E., Polovinkina M.V., Polovinkin I.P., “On Recovery of the Singular Differential Laplace—Bessel Operator from the Fourier–Bessel Transform”, Mathematics (MDPI), 11:5 (2023), 1103 , 16 pp., (This article belongs to the Special Issue “Recent Advances in the Theory and Applications of Fractional Calculus”, dedicated to our colleague and friend Professor Neville J. Ford on the occasion of his 65th birthday. Special Issue guest editors - Dr. Maria Luisa Morgado, Prof. Dr. Kai Diethelm, Prof. Dr. Yubin Yan.) https://www.mdpi.com/2227-7390/11/5/1103
Sitnik S.M., Tu Rain, “Effektivnaya metodologiya sbora dannykh dlya obucheniya obratnoi dinamicheskoi modeli manipulyatora na osnove analiticheskogo metoda. I.”, Chelyabinskii fiziko-matematicheskii zhurnal, 8:1 (2023), 140–145 https://cpmj.csu.ru/index.php/cpmj/article/view/12566/360
11.
S. M. Sitnik, O. V. Skoromnik, M. V. Papkopvich, “Some Multi–dimensional Modified G- and H-Integral Transforms on L— Spaces”, Differential Equations, Mathematical Modeling and Computational Algorithms. DEMMCA 2021, Proceedings in Mathematics & Statistics, 423, eds. Vasilyev V., Springer, Cham, 2023, 193–214 https://link.springer.com/chapter/10.1007/978-3-031-28505-9_14
S. M. Sitnik, I. Jebabli, “On Applications of Integral Transforms Composition Method”, Lobachevskii Journal of Mathematics, 44:3 (2023), 1029–1042 https://link.springer.com/article/10.1134/S1995080223030319
13.
Sergei Sitnik, “Editorial for the Special Issue “Analytical and Computational Methods in Differential Equations, Special Functions, Transmutations and Integral Transforms””, Mathematics (MDPI), 15:11 (2023), 3402 , 7 pp., (This article belongs to the Special Issue Analytical and Computational Methods in Differential Equations, Special Functions, Transmutations and Integral Transforms, part 1, Guest Editor S.M.Sitnik) https://www.mdpi.com/2227-7390/11/15/3402
14.
S. M. Sitnik, “On the decay rate of solutions to the stationary Schrödinger equation with a potential depending on one variable”, Differential Equations and Mathematical Physics, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 225, VINITI, Moscow, 2023, 115–122
15.
Naidyuk F.O., Pryadiev V.L., Sitnik S.M., “Mnogochleny Lagerra v opisanii profilei pryamoi i obratnoi voln dlya volnovogo uravneniya na otrezke pri uslovii Robena ili pri uslovii prisoedinennoi massy.”, Prikladnaya matematika & fizika, 55:8 (2023), 248–257 http://maths-physics-journal.ru/index.php/journal/article/view/211
16.
Sitnik S.M., Skoromnik O.V., “Multi-Dimensional Integral Transforms with the Fox H-Function and the Legendre Function of the First Kind in the Kernels on L-Spaces”, Lobachevskii Journal of Mathematics., 44:8 (2023), 3563-3581 https://link.springer.com/journal/12202/volumes-and-issues/44-8
17.
Sergey Sitnik, Shakhobiddin Karimov, Yorkinoy Tulasheva, “The Cauchy Problem for the Degenerate Beam Vibration Equation.”, Dedicated to the outstanding mathematician Makhmud Salakhitdinovich Salakhitdinov on the occasion of his 90th anniversary International Mathematical Schools. Vol. 6. Mathematical Schools in Uzbekistan., Journal of Mathematical Sciences, 277 (2023), 458–466 https://link.springer.com/article/10.1007/s10958-023-06849-5
S. M. Sitnik, M. V. Polovinkina, V. E. Fedorov, I. P. Polovinkin, “Recovery of the Laplace–Bessel operator of a function by the spectrum, which is specified not everywhere”, Proceedings of the Voronezh international winter mathematical school “Modern methods of function theory and related problems”, Voronezh, January 27 - February 1, 2023, Part 2, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 228, VINITI, Moscow, 2023, 52–57
19.
Sitnik S.M., Arian A.A., “On an Integral Equation with the Riemann Function Kernel”, Axioms (MDPI), 11:4 (2022), 166 , 12 pp. https://doi.org/10.3390/axioms11040166 ((This article belongs to the Special Issue “Advances in Nonlinear Boundary Value Problems: Theory and Applications”, Academic Editors: Feliz Manuel Minhos and Joao Fialho).)
20.
S. M. Sitnik, O. E. Yaremko, N. N. Yaremko, “Generalized Discrete Fourier Transform on the Base of Lagrange and Hermite Interpolation Formulas”, Lobachevskii Journal of Mathematics., 43:6, Special issue Part 1: “Differential Equations and Mathematical Modeling” (Proceedings of the Conference “Differential Equations, Mathematical Modeling, and Computational Algorithms” (Belgorod, 2021)), Editor: S.M. Sitnik. (2022), 1417–1427 https://link.springer.com/article/10.1134/S1995080222090256
21.
S. M. Sitnik, O. V. Skoromnik, S. A. Shlapakov, “Multi-Dimensional Generalized Integral Transform in the Weighted Spaces of Summable Functions.”, Lobachevskii Journal of Mathematics., 43:6, Special issue Part 1: “Differential Equations and Mathematical Modeling” (Proceedings of the Conference “Differential Equations, Mathematical Modeling, and Computational Algorithms” (Belgorod, 2021)), Editor: S.M. Sitnik (2022), 1408–1416 https://link.springer.com/article/10.1134/S1995080222090244
Sergey M. Sitnik, Vladimir E. Fedorov, Nikolay V. Filin, Viktor A. Polunin, “On the Solvability of Equations with a Distributed Fractional Derivative Given by the Stieltjes Integral.”, Mathematics (MDPI), 10:16, This article belongs to the Special Issue Recent Advances in the Theory and Applications of Fractional Calculus (2022), 2979 , 20 pp. https://www.mdpi.com/2227-7390/10/16/2979
Hari M. Srivastava, Sana Mehrez, Sergei M. Sitnik, “Hermite-Hadamard-Type Integral Inequalities for Convex Functions and Their Applications.”, Mathematics (MDPI), 10:17, This article belongs to the Special Issue Analytical and Computational Methods in Differential Equations, Special Functions, Transmutations and Integral Transforms. Guest editor for this Special Issue - S.M.Sitnik (2022), 3127 , 13 pp. https://www.mdpi.com/2227-7390/10/17/3127
Sergey M. Sitnik, Khristofor V. Yadrikhinskiy, Vladimir E. Fedorov, “Symmetry Analysis of a Model of Option Pricing and Hedging.”, Symmetry (MDPI), 14:9, This article belongs to the Special Issue Special Functions and Orthogonal Polynomials: Symmetry and Applications (2022), 1841 , 18 pp. https://www.mdpi.com/2073-8994/14/9/1841
Sitnik S.M., Shishkina E.L., “Retsenziya na monografiyu: V. V. Kravchenko, direct and inverse Sturm - Liouville problems. Springer, 2020, na angl. yazyke.(S kratkim ocherkom razvitiya teorii obratnykh zadach dlya uravneniya Shturma - Liuvillya)”, Prikladnaya matematika & Fizika, 53:1 (2021), 73–84 http://maths-physics-journal.ru/index.php/journal/article/view/47/41
26.
D. K. Durdiev, E. L. Shishkina, S. M. Sitnik, “Fractional powers of Bessel operator and its numerical calculation”, Chelyab. fiz.-matem. zhurn., 6:2 (2021), 172–189
27.
D.K. Durdiev, E.L. Shishkina, S.M. Sitnik, “The Explicit Formula for Solution of Anomalous Diffusion Equation in the Multi-Dimensional Space”, Lobachevskii J. Math., 42:6 (2021), 1264-1273 https://doi.org/10.1134/S199508022106007X, arXiv: https://arxiv.org/abs/2009.10594
Elina Shishkina, Sergei Sitnik, Viktor Polunin, “On sharp bounds in the T. Lyonss neo-classical inequality, which is essential for the theory of stochastic differential equations”, Global and Stochastic Analysis, 8:2 (2021), 77–86 https://www.mukpublications.com/gsa-vol-8-no-2-2021.php
29.
Shishkina E. L., Sitnik S. M., Jebabli I., “Application of Integral Transforms Composition Method (ITCM) to obtaining transmutations via integral transforms with Bessel functions in kernels”, Sibirskie elektronnye matematicheskie izvestiya, 18:2 (2021), 884–900 http://semr.math.nsc.ru/v18/n2/a30-a43.pdf
S. M. Sitnik, E. L. Shishkina, “On two classes of operators of generalized fractional integro-differentiation”, Differential Equations and Mathematical Physics, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 198, VINITI, Moscow, 2021, 109–122
31.
V. V. Kravchenko, S. M. Sitnik, “Some Recent Developments in the Transmutation Operator Approach”, Transmutation Operators and Applications. Trends in Mathematics. Kravchenko, Vladislav, Sitnik, Sergei M. (Eds.) 2020, Birkhauser Basel,Springer., Trends in Mathematics, eds. Kravchenko Vladislav, Sitnik, Sergei M., Birkhauser, Springer Nature Switzerland AG, Basel, 2020, 3–9 https://www.springer.com/gp/book/9783030359133
Sh. T. Karimov, S. M. Sitnik, “On Some Generalizations of the Properties of the Multidimensional Generalized Erdelyi–Kober Operators and Their Applications”, Transmutation Operators and Applications.Trends in Mathematics. Kravchenko, Vladislav, Sitnik, Sergei M. (Eds.) 2020, Birkhauser Basel,Springer., Trends in Mathematics, eds. Kravchenko Vladislav, Sitnik Sergei M., Birkhauser, Springer Nature Switzerland AG, Basel, 2020, 85–115 https://www.springer.com/gp/book/9783030359133
33.
S. M. Sitnik , O. V. Skoromnik, “One-Dimensional and Multi-Dimensional Integral Transforms of Buschman–Erdelyi Type with Legendre Functions in Kernels”, Transmutation Operators and Applications.Trends in Mathematics. Kravchenko, Vladislav, Sitnik, Sergei M. (Eds.) 2020, Birkhauser Basel,Springer., Trends in Mathematics, eds. Kravchenko Vladislav, Sitnik Sergei M., Birkhauser, Springer Nature Switzerland AG, Basel, 2020, 293–319 https://www.springer.com/gp/book/9783030359133
E. L. Shishkina, S. M. Sitnik, “Fractional Bessel Integrals and Derivatives on Semi-axes”, Transmutation Operators and Applications. Trends in Mathematics. Kravchenko, Vladislav, Sitnik, Sergei M. (Eds.) 2020, Birkhauser Basel,Springer., Trends in Mathematics, eds. Kravchenko Vladislav, Sitnik, Sergei M., Birkhauser, Springer Nature Switzerland AG, Basel, 2020, 615–651 https://www.springer.com/gp/book/9783030359133
S.M. Sitnik, A.S. Timashov, S.N. Ushakov, “On the Correctness of Finite-Rank Approximations by Series of Shifted Gaussians”, Lobachevskii Journal Of Mathematics, 41:3 (2020), 423-429 https://link.springer.com/article/10.1134/S1995080220030166, arXiv: 2007.02694
S.M. Sitnik, A.S. Timashov, S.N. Ushakov, “Signal approximations by shifted Gaussians: a direct approach by finite linear systems”, Journal of Physics: Conference Series, 1479 (2020), 012046 , 9 pp. https://iopscience.iop.org/issue/1742-6596/1479/1 (In: Applied Mathematics, Computational Science and Mechanics: Current Problems 11-13, November 2019, Voronezh, Russian Federation)
S.M. Sitnik, O. Yaremko, N. Yaremko, “Transmutation Operators Boundary Value Problems”, Transmutation Operators and Applications, Trends in Mathematics, eds. Kravchenko Vladislav, Sitnik Sergei M., Birkhauser Basel, Springer Nature Switzerland AG, Basel, 2020, 447–466 https://www.springer.com/gp/book/9783030359133
38.
S.M. Sitnik, V.I. Makovetsky, “Necessary Condition for the Existence of an Intertwining Operator and Classification of Transmutations on Its Basis”, Transmutation Operators and Applications, Trends in Mathematics, eds. Kravchenko Vladislav, Sitnik Sergei M., Birkhauser Basel, Springer Nature Switzerland AG, Basel, 2020, 171-191 https://www.springer.com/gp/book/9783030359133
39.
S. M. Sitnik, “On One Integral Equation in the Theory of Transform Operators”, Computational Mathematics and Mathematical Physics, 60 (2020), 1381–1391 https://link.springer.com/article/10.1134/S096554252008014X
40.
A. B. Pevnyi, S. M. Sitnik, “Obobscheniya neravenstv M. G. Kreina, E. A. Gorina i Yu. V. Linnika dlya polozhitelno opredelennykh funktsii na mnogotochechnyi sluchai”, Sibirskie elektronnye matematicheskie izvestiya, 16 (2019), 263–270 http://semr.math.nsc.ru/v16/p263-270.pdf
S.M. Sitnik, O.V. Skoromnik, S.A. Shlapakov, “Mnogomernoe obschee integralnoe preobrazovanie so spetsialnymi funktsiyami v yadre”, Vesnik VDU (Vestnik Vitebskogo gosudarstvennogo universiteta imeni P.M. Masherova), 3:104 (2019), 18-27 https://vsu.by/vesnik-vdu/poslednij-vypusk.html
43.
Khaled Mehrez,· Sergei M. Sitnik, “Functional inequalities for the Fox-Wright functions”, The Ramanujan Journal, 50:2 (2019), 263–287 https://link.springer.com/article/10.1007
Alexander Kuznetsov, Elina Shishkina, Sergey Sitnik, “Probabilistic Properties of Near-Optimal Trajectories of an Agent Moving Over a Lattice”, Journal of Optimization Theory and Applications, 182:2 (2019), 768–784 https://link.springer.com/article/10.1007/s10957-018-1374-6
Ryzhkova E.V., Serbina L.I., Sitnik S.M., “Quadratic exponential in modified discrete Fourier transform and shifted Gaussian series”, Journal of Physics: Conference Series, 1203 (2019), 012098 , 13 pp. https://iopscience.iop.org/article/10.1088/1742-6596/1203/1/012098
46.
Polovinkin I.P., Shishkina E.L., Sitnik S.M., “Space of images of the mixed Riesz hyperbolic B-potential and analytic continuation”, Journal of Inverse and Ill-posed Problems, 27:2 (2019), 171–184 https://www.degruyter.com/view/j/jiip.2019.27.issue-2/jiip-2017-0112/jiip-2017-0112.xml
Mehrez K., Sitnik S. M., “Generalized Volterra functions, its integral representations and applications to the Mathieu-type series”, Applied Mathematics and Computation, 347 (2019), 578–589 https://www.sciencedirect.com/science/article/abs/pii/S0096300318309779
S. M. Sitnik, E. L. Shishkina, “O drobnykh stepenyakh operatora Besselya na poluosi”, Sibirskie Elektronnye Matematicheskie Izvestiya, 15 (2018), 1–10 http://semr.math.nsc.ru/v15/p1-10.pdf
Fitouhi A., Jebabli I., Shishkina E.L., Sitnik S.M., “Applications of integral transforms composition method to wave-type singular differential equations and index shift transmutations”, Electron. J. Differential Equations, 2018 (2018), 130 , 27 pp. https://ejde.math.txstate.edu/Volumes/2018/130/abstr.html, arXiv: https://arxiv.org/abs/1805.06925}{https://arxiv.org/abs/1805.06925}
50.
Valeriy V. Katrakhov, Sergey M. Sitnik, “Transmutation Method and Boundary-Value Problems for Singular Elliptic Equations”, English translation by Professor A.B.Muravnik, arxiv.org, 2022, 1–207 https://doi.org/10.48550/arXiv.2210.02246
51.
N. V. Zhukovskaya, S. M. Sitnik, “Euler type differential equations of fractional order”, Mathematical notes of NEFU, 25:2 (2018), 27–39
52.
N. V. Zhukovskaya , S. M. Sitnik, “Primenenie metoda Lenara - Shipara k resheniyu odnorodnogo differentsialnogo uravneniya tipa Eilera drobnogo poryadka na intervale”, Matematicheskie zametki SVFU, 25:3 (2018), 33–42 http://www.mzsvfu.ru/index.php/mz/article/view/applying-lienard-schipars-method-to-solving-euler-type-equations
53.
K. Mehrez, S. M. Sitnik, “Monotonicity properties and functional inequalities for the Volterra and incomplete Volterra functions”, Integral Transforms and Special Functions, 29:11 (2018), 875–892 https://www.tandfonline.com/doi/full/10.1080/10652469.2018.1512107, arXiv: 1805.01462v2
P.Agarwal, A.A. Korenovskii, S.M. Sitnik, “A Generalization of Cauchy–Bunyakovsky Integral Inequality Via Means with Max and Min Values”, Advances in Mathematical Inequalities and Applications, Trends in Mathematics, eds. P. Agarwal, S.S. Dragomir, M. Jleli, B. Samet, Birkhauser Basel, Springer Nature Singapore, 2018, 333-349 https://www.springer.com/us/book/9789811330124
Mehrez K., Sitnik S. M., “Turan Type Inequalities for Classical and Generalized Mittag-Leffler Functions”, Analysis Mathematica, 44:4 (2018), 521–541 https://link.springer.com/article/10.1007/s10476-018-0404-9
S. M. Sitnik, “Turan-type inequalities and their applications in probability”, Theory of Probability and its Applications (SIAM), 62:4 (2018), 665–666 , Abstracts of talks given at the 2nd international conference on stochastic methods https://epubs.siam.org/doi/abs/10.1137/S0040585X97T988861
57.
D. S. Donchev, S. M. Sitnik, E. L. Shishkina, “On refinements of neo-classical inequality and its applications to stochastic differential equations and Brownian motion”, Chelyab. Fiz.-Mat. Zh., 2:3 (2017), 257–265
58.
I. G. Drovnikova, T. V. Meshcheryakova, A. D. Popov, E. A. Rogozin, S. M. Sitnik, “Mathematical model for estimating the efficiency of information security systems by means of Laplace transformation and Givens method”, Tr. SPIIRAN, 52 (2017), 234–259
59.
A. B. Pevnyi, S. M. Sitnik, “Modifitsirovannoe diskretnoe preobrazovanie Fure i ego spektralnye svoistva”, Vestnik Syktyvkarskogo universiteta. Seriya 1: Matematika. Mekhanika. Informatika, 4:25 (2017), 15–19 https://syktsu.ru/_fac/math/vestnik/article/v25.pdf
60.
Mehrez Kh., Sitnik S.M., “Functional Inequalities for the Mittag-Leffler Functions”, Results in Mathematics, 72:1(2) (2017), 703–714 https://link.springer.com/article/10.1007/s00025-017-0664-x
E.L.Shishkina, S.M. Sitnik, “General form of the Euler-Poisson-Darboux equation and application of the transmutation method”, Electronic Journal of Differential Equations, 177 (2017), 1–20 https://ejde.math.txstate.edu/Volumes/2017/177/abstr.html
62.
S.M. Sitnik, “A short survey of recent results on Buschman-Erdelyi transmutations”, Journal of Inequalities and Special Functions, 8:1, Special issue To honor Prof. Ivan Dimovskis contributions (2017), 140-157 http://ilirias.com/jiasf/repository/docs/JIASF8-1-12.pdf
63.
E.L.Shishkina, S.M. Sitnik, “On fractional powers of Bessel operators”, Journal of Inequalities and Special Functions, 8:1, Special issue To honor Prof. Ivan Dimovskis contributions (2017), 49–67 http://ilirias.com/jiasf/repository/docs/JIASF8-1-5.pdf
64.
S. M. Sitnik, Kh. Mekhrez, “Monotonnost otnoshenii nekotorykh gipergeometricheskikh funktsii”, Sib. elektron. matem. izv., 13 (2016), 260–268 http://semr.math.nsc.ru/v13/p260-268.pdf
S. M. Sitnik, “Srednie K. Dzhini i primeneniya neravenstv dlya nikh v khimii polimerov”, Nauchnye vedomosti Belgorodskogo gosudarstvennogo universiteta. Matematika. Fizika, 6 (227):42 (2016), 83–86 http://unid.bsu.edu.ru/unid/res/ved/detail.php?IBLOCK_ID=106&SECTION_ID=573&ELEMENT_ID=366799
66.
S. M. Sitnik, “Kraevye zadachi dlya uravnenii s osobennostyami v rabotakh V.V.Katrakhova”, Mezhdunarodnaya nauchnaya konferentsiya "Aktualnye problemy teorii uravnenii v chastnykh proizvodnykh. (Posvyaschaetsya pamyati akademika A.V.Bitsadze) (Moskva, 16–18 iyunya 2016 g.), MGU, 2016, 72
67.
S. M. Sitnik, Kh. Mehrez, “Proofs of some conjectures on monotonicity of ratios of Kummer, Gauss and generalized hypergeometric functions”, Analysis (De Gruyter), 36:4 (2016), 263–268 https://www.degruyter.com/view/j/anly.2016.36.issue-4/anly-2015-0029/anly-2015-0029.xml?format=INT
S. M. Sitnik, “Obobschenie neravenstva Koshi - Bunyakovskogo v terminakh maksimumov i minimumov funktsii”, Matematicheskii forum (Itogi nauki. Yug Rossii), 10:1 (2016), 79-98
69.
S. M. Sitnik, “A survey of Buschman — Erdelyi transmutations”, Chelyab. Fiz.-Mat. Zh., 1:4 (2016), 63–93
S. M. Sitnik, E. L. Shishkina, “On an identity for the iterated weighted spherical mean and its applications”, Sib. Èlektron. Mat. Izv., 13 (2016), 849–860
72.
Kh. Mehrez, S.M. Sitnik, “On monotonicity of ratios of some q-hypergeometric functions”, Matematicki Vesnik, 68:3 (2016), 225–231 http://www.emis.de/journals/MV/163/8.html
73.
S. M. Sitnik, “Means of C. Jini and applications of its inequalities in the polymer chemistry”, Applied Mathematics & Physics, 42:6 (2016), 83–86
74.
A. B. Pevnyi, S. M. Sitnik, “Neravenstva dlya strogo polozhitelno opredelënnykh funktsii.”, Nauchnye vedomosti Belgorodskogo gosudarstvennogo universiteta. Matematika. Fizika., # 17:40 (2015), 106–114 http://unid.bsu.edu.ru/unid/res/ved/detail.php?IBLOCK_ID=106&SECTION_ID=573&ELEMENT_ID=341771
75.
S. M. Sitnik, A. S. Timashov, S. N. Ushakov, “Metod konechnomernykh priblizhenii v zadachakh kvadratichnoi eksponentsialnoi interpolyatsii”, Nauchnye vedomosti Belgorodskogo gosudarstvennogo universiteta. Matematika. Fizika., 17:40 (2015), 130–142
76.
Pevnyi A. B., Sitnik S. M., “On Gasparyan’s Inequality”, Journal Of Mathematical Sciences, 205:2 (2015), 304–307 http://link.springer.com/article/10.1007
E. A. Kiselev, L. A. Minin, I. Ya. Novikov, S. M. Sitnik, “On the Riesz Constants for Systems of Integer Translates”, Math. Notes, 96:2 (2014), 228–238
79.
A. B. Pevnyi, S. M. Sitnik, “On Gasparyan’s Inequality”, Journal Of Mathematical Sciences, 205:2 (2015), 304–307 , Springer
80.
L.A. Minin, S.M. Sitnik, S.N. Ushakov, “Povedenie koeffitsientov uzlovykh funktsii, postroennykh iz ravnomernykh sdvigov funktsii Gaussa i Lorentsa”, Nauchnye vedomosti Belgorodskogo gosudarstvennogo universiteta. Seriya: Matematika, Fizika, #7 (183):35 (2014), 214–217
81.
S.M. Sitnik, “Buschman-Erdelyi transmutations, classification and applications”, Analytic Methods Of Analysis And Differential Equations: Amade 2012 (Minsk, 2012, AMADE), eds. M.V. Dubatovskaya, S.V. Rogosin, Cambridge Scientific Publishers, Cottenham, Cambridge, 2013, 171–201 http://www.cambridgescientificpublishers.com/
82.
Sitnik S.M., Timashov A.S., “Raschet konechnomernoi matematicheskoi modeli v zadache kvadratichnoi eksponentsialnoi interpolyatsii”, Nauchnye vedomosti Belgorodskogo gosudarstvennogo universiteta. Seriya: Matematika, Fizika, 19 (162):32 (2013), 184–186
83.
M. V. Zhuravlev, E. A. Kiselev, L. A. Minin and S. M. Sitnik, “Jacobi theta–functions and systems of integral shifts of Gaussian functions”, Journal of Mathematical Sciences, Springer, 173:2 (2011), 231–241 http://link.springer.com/article/10.1007/s10958-011-0246-5
S. M. Sitnik, “On integral representation to solutions for a differential equation with singular coefficients”, Vladikavkaz. Mat. Zh., 12:4 (2010), 73–78
85.
Sitnik S.M., “O yavnykh realizatsiyakh drobnykh stepenei differentsialnogo operatora Besselya i ikh prilozheniyakh k differentsialnym uravneniyam”, Doklady Adygskoi (Cherkesskoi) Mezhdunarodnoi akademii nauk, 12:2 (2010), 69–75
86.
D.Karp, S.M.Sitnik, “Log-convexity and log-concavity of hypergeometric-like functions”, Journal of Mathematical Analysis and Applications, 364 (2010), P. 384-–394. , arXiv: 0902.3073v1
M. V. Zhuravlëv, E. A. Kiselëv, L. A. Minin, S. M. Sitnik., “Teta–funktsii Yakobi i sistemy tselochislennykh sdvigov funktsii Gaussa”, Sovremennaya matematika i eë prilozheniya, 67 (2010), 107–116 http://science.org.ge/cma/cma_r.html
88.
Sitnik S.M., “Operator preobrazovaniya spetsialnogo vida dlya differentsialnogo operatora s singulyarnym v nule potentsialom”, Neklassicheskie uravneniya matematicheskoi fiziki, Sbornik posvyaschen 65 - letiyu so dnya rozhdeniya professora Vladimira Nikolaevicha Vragova, eds. A.I.Kozhanov, Izdatelstvo instituta matematiki im. S.L.Soboleva SO RAN, Novosibirsk, 2010, 264–278
89.
D. Karp, S. M. Sitnik, “Inequalities and monotonicity of ratios for generalized hypergeometric function”, Journal of Approximation Theory, 161 (2009), 337–-352 , arXiv: math.CA/0703084
S. M. Sitnik, “Utochneniya i obobscheniya klassicheskikh neravenstv”, Itogi nauki. Yuzhnyi federalnyi okrug., "Matematicheskii forum. Issledovaniya po matematicheskomu analizu, eds. Yu. F. Korobeinik, A. G. Kusraev, Yuzhnyi matematicheskii institut VNTs RAN i RSO Alaniya, Vladikavkaz, 2009, 221–266 arXiv:1012.3864
91.
L. A. Minin, S. M. Sitnik, “O neravenstvakh dlya teta–funktsii Yakobi”, Chernozëmnyi almanakh nauchnykh issledovanii, Nomer, posvyaschënnyi 85-letiyu Ivana Aleksandrovicha Kipriyanova, Seriya “Fundamentalnaya matematika”, 1(8), izdatelstvo VGU, Voronezh, 2009, 234–311
Sitnik S.M., “Ob odnom trivialnom sposobe polucheniya neravenstv dlya srednikh velichin”, Sovremennaya matematika i problemy matematicheskogo obrazovaniya, Orlovskii gosudarstvennyi universitet, Orel, 2009, 89–94
96.
S.M.Sitnik, “Operatory preobrazovaniya i ikh prilozheniya”, Obzor, Issledovaniya po sovremennomu analizu i matematicheskomu modelirovaniyu (Volgodonsk, 2007), eds. Korobeinik Yu. F., Kusraev A. G., Vladikavkazskii nauchnyi tsentr RAN i RSO–A., Vladikavkaz, 2008, C. 226–293.
S. M. Sitnik, “Spectral properties of modified discrete Fourier transforms”, Proceedings of the Fourth All-Russian Scientific Conference with international participation (29–31 May 2007). Part 4, Matem. Mod. Kraev. Zadachi, Samara State Technical Univ., Samara, 2007, 95–97
99.
S. M. Sitnik, Proceedings of the Fourth All-Russian Scientific Conference with international participation (29–31 May 2007). Part 3, Matem. Mod. Kraev. Zadachi, Samara State Technical Univ., Samara, 2007, 158–160
100.
D. Karp, A. Savenkova, S.M.Sitnik, “Series expansions for the third incomplete elliptic integral via partial fraction decompositions”, Journal of Computational and Applied Mathematics, 207, Proceedings of The Conference in Honour of Dr. Nico Temme on the Occasion of his 65th birthday:2 (2007), P. 331–337. , arXiv: math. CA/0410009/2004
S.M.Sitnik, “Kompyuternyi analiz spektralnykh svoistv modifitsirovannykh diskretnykh preobrazovanii Fure”, Doklady Adygskoi (Cherkesskoi) Mezhdunarodnoi akademii nauk, 9:1 (2007), C. 98–103.
102.
D.Karp, S.M.Sitnik, “Asymptotic approximations for the first incomplete elliptic integral near logarithmic singularity”, Journal of Computational and Applied Mathematics, 205 (2007), P. 186 – 206 , arXiv: math.CA/0604026
Naidyuk F.O., Pryadiev V.L., Sitnik S.M., “Opisanie profilei pryamoi i obratnoi voln dlya volnovogo uravneniya na otrezke s kraevymi usloviyami pervogo ili vtorogo roda - na odnom kontse i tretego roda ili prisoedinënnoi massy - na drugom”, Spetsialnyi vypusk: “Izbrannye trudy uchastnikov Voronezhskogo matematicheskogo seminara po matematicheskomu analizu, teorii funktsii i differentsialnym uravneniyam”, Chernozëmnyi almanakh nauchnykh issledovanii, 1(1), Seriya:"Fundamentalnaya matematika", Nauchnye redaktory: Minin L.A., Novikov I.Ya., Rodin V.A., Sitnik S.M. (2005), C. 53-68.
104.
S.M.Sitnik, “Obobscheniya neravenstv Koshi-Bunyakovskogo metodom srednikh znachenii i ikh prilozheniya”, Chernozëmnyi almanakh nauchnykh issledovanii, 1(1), Seriya:"Fundamentalnaya matematika", Spetsialnyi vypusk: “Izbrannye trudy uchastnikov Voronezhskogo matematicheskogo seminara po matematicheskomu analizu, teorii funktsii i differentsialnym uravneniyam” (2005), C. 3-42. (Nauchnye redaktory: Minin L.A., Novikov I.Ya., Rodin V.A., Sitnik S.M.)
105.
S. M. Sitnik, A. S. Timashov, “Definition Of Multifocal Curves”, Proceedings of the All-Russian Scientific Conference (26–28 May 2004). Part 2, Matem. Mod. Kraev. Zadachi, Samara State Technical Univ., Samara, 2004, 246–249
106.
Sitnik S.M., “Ob obobschenii binominalnoi teoremy, voznikayuschem v teorii differentsialnykh uravnenii”, Vestnik Voronezhskogo instituta MVD Rossii, 2004, no. 1 (16), 143–147
S. M. Sitnik, D. B. Karp, E. V. Kostyuchenko., “Formuly dlya razlozheniya nekotorykh drobei na prosteishie i ikh primeneniya k spetsialnym funktsiyam.”, Vestnik Dalnevostochnoi gosudarstvennoi akademii ekonomiki i upravleniya, 4:32 (2004), 82–93 (Vladivostok.)
G.A. Antsiferova, S.M.Sitnik, “Nekotorye obobscheniya neravenstva Yunga”, Vestnik Voronezhskogo instituta MVD Rossii, 2(4) (1999), C. 161-164.
112.
Sitnik S.M., Bulygin A.M., Koshlakov S.N., “Neravenstva o srednikh v kompleksnoi oblasti”, Nauchno-prakticheskaya konferentsiya Voronezhskoi Vysshei Shkoly MVD Rossii. Tezisy dokladov. Chast II (Voronezh, 1998), VI MVD, 1998, 6–7
113.
D. S. Konovalova, S. M. Sitnik, “Formula Teilora dlya operatorov tipa Besselya”, Voronezhskaya vesennyaya matematicheskaya shkola Sovremennye metody v teorii kraevykh zadach. " Pontryaginskie chteniya-VII" (Voronezh, 17–23 aprelya 1996 g.), VGU, Voronezh, 1996, 102
114.
Sitnik S.M., “Neravenstva dlya ostatochnogo chlena ryada Teilora eksponentsialnoi funktsii”, Tez. dokladov. Voronezhskaya vesennyaya matematicheskaya shkola (17-23 aprelya 1996 g.) Sovremennye metody v teorii kraevykh zadach. " Pontryaginskie chteniya-VII" (Voronezh, 17-23 aprelya 1996 g.), VGU, Voronezh, 1996, 165
115.
Sitnik S.M., “Metod polucheniya posledovatelnykh utochnenii neravenstva Koshi-Bunyakovskogo i ego primeneniya k otsenkam spetsialnykh funktsii”, Tez. dokladov. Voronezhskaya vesennyaya matematicheskaya shkola (17-23 aprelya 1996 g.) Sovremennye metody v teorii kraevykh zadach. " Pontryaginskie chteniya-VII" (Voronezh, 17-23 aprelya 1996 g.), VGU, 1996, 164
116.
Konovalova D.S., Sitnik S.M., “Formula Teilora dlya operatorov tipa Besselya”, Tez. dokladov. Voronezhskaya vesennyaya matematicheskaya shkola (17-23 aprelya 1996 g.) Sovremennye metody v teorii kraevykh zadach. " Pontryaginskie chteniya-VII" (Voronezh, 17-23 aprelya 1996 g.), VGU, 1996, 102
117.
S.M. Sitnik, “Refinements of the Bunyakovskii-Schwartz inequalities with applications to special functions estimates”, Conference in Mathematical Analysis and Applications in Honour of Lars Inge Hedbergs Sixtieth Birthday (Linkoping University, Sweden, June 10-15. 1996), Linkoping University, Sweden, 1996, 97
118.
Sitnik S.M., “Inequalities for Bessel functions”, Dokl. Math. of the Russian Academy of Sciences, 51:1 (1995), 25–28
119.
Katrakhov V.V.; Sitnik S.M., “Estimates of the Jost solution to a one–dimensional Schrodinger equation with a singular potential”, Dokl. Math. , Russian Academy of Sciences, 51:1 (1995), 14–16
Sitnik S.M., “Operatory Bushmana-Erdeii”, Differentsialnye i integralnye uravneniya. Matematicheskaya fizika i spetsialnye funktsii. Mezhdunarodnaya nauchnaya konferentsiya (24-31 maya 1992 g., g. Samara), eds. sostavitel N.Ya. Nikolaev, Samarskii gosuniversitet, 1992, 233–234
122.
S. M. Sitnik, “Faktorizatsiya i otsenki norm v vesovykh lebegovykh prostranstvakh operatorov Bushmana–Erdeii”, (predstavlena akademikom S. M. Nikolskim), Doklady Akademii Nauk SSSR, 320:6 (1991), 1326–1330; S. M. Sitnik, “Factorization and estimates of the norms of Buschman-Erdelyi operators in weighted Lebesgue spaces”, Soviet Mathematics Doklades. Soviet Academy of Sciences,, 44:2 (1992), 641–646
Katrakhov V.V.; Sitnik S.M., “Factorization methods in the theory of transmutation operators”, Nonclassical equations and equations of mixed type, Collection of scientific works, Novosibirsk: Institut Matematiki SO AN SSSR, 1990, 104–122
124.
Sitnik S.M., “Formuly sootvetstviya dlya modelnykh uravnenii s chastnymi proizvodnymi s osobennostyami”, Matematicheskoe modelirovanie v estestvoznanii i tekhnologii. Tezisy dokladov Vsesoyuznoi shkoly-seminara (Vladivostok, 14-21 sentyabrya 1989 g), eds. V.Yu. Subochev, IPM DVO RAN, 1989, 50–51
Sitnik S.M., “Ob odnoi pare operatorov preobrazovaniya”, Kraevye zadachi dlya neklassicheskikh uravnenii matematicheskoi fiziki, eds. otvetstvennyi redaktor V.N. Vragov, IM SO RAN, Novosibirsk, 1987, 168–173
129.
Sitnik S.M., “O skorosti ubyvaniya reshenii statsionarnogo uravneniya Shredingera s potentsialom, zavisyaschim ot odnoi peremennoi”, Neklassicheskie uravneniya matematicheskoi fiziki, eds. otvetstvennyi redaktor V.N. Vragov, IM SO RAN, Novosibirsk, 1985, 139–147
130.
Katrakhov V.V., Sitnik S.M., “A boundary–value problem for the steady-state Schrodinger equation with a singular potential”, Soviet Math. Dokl., 30:2 (1984), 468–470
131.
S. M. Sitnik, “Kraevaya zadacha s integralnymi granichnymi usloviyami dlya odnogo klassa uravnenii s silnym vyrozhdeniem”, Materialy XXI Vsesoyuznoi nauchnoi studencheskoi konferentsii “Student i nauchno-tekhnicheskii progress”. Matematika. (Novosibirsk, 1983), NGU, 1983, 55–58
Books
132.
Sergei Sitnik, Ed., Analytical and Computational Methods in Differential Equations, Special Functions, Transmutations and Integral Transforms, This book is a reprint of the Special Issue Analytical and Computational Methods in Differential Equations, Special Functions, Transmutations and Integral Transforms that was published in Mathematics, MDPI., eds. Sergei Sitnik, MDPI, Basel, Switzerland, 2023 , 446 pp. https://www.mdpi.com/books/book/7922-analytical-and-computational-methods-in-differential-equations-special-functions-transmutations-and
133.
L. N. Lyakhov, A. B. Muravnik, and S. M. Sitnik., Lobachevskii Journal of Mathematics, Volume 44, Issue 8, August 2023. Part 2. Special issue: I. A. Kipriyanov and His Mathematics: to the Centennial Birthday Anniversary,, 42 research papers., eds. L. N. Lyakhov, A. B. Muravnik, and S. M. Sitnik., Springer, 2023 https://link.springer.com/journal/12202/volumes-and-issues/44-8
Elina Shishkina, Sergei Sitnik, Transmutations, Singular and Fractional Differential Equations with Applications to Mathematical Physics, Mathematics in Science and Engineering, Elsevier. Academic Press, 2020 , 592 pp. https://www.elsevier.com/books/transmutations-singular-and-fractional-differential-equations-with-applications-to-mathematical-physics/shishkina/978-0-12-819781-3
136.
S. M. Sitnik, E. L. Shishkina, Metod operatorov preobrazovaniya dlya differentsialnykh uravnenii s operatorami Besselya, Fizmatlit, Moskva, 2019 , 224 pp.
Thesis
137.
Sitnik S.M., Primenenie operatorov preobrazovaniya Bushmana–Erdeii i ikh obobschenii v teorii differentsialnykh uravnenii s osobennostyami v koeffitsientakh, Dissertatsiya na soiskanie uchenoi stepeni doktora fiziko-matematicheskikh nauk. Spetsialnost 01.01.02 - differentsialnye uravneniya, dinamicheskie sistemy i optimalnoe upravlenie, Voronezhskii gosuniversitet, Voronezh, 2016 , 320 pp.
138.
Sitnik S.M., Metod operatorov preobrazovaniya dlya statsionarnogo uravneniya Shredingera, kand. fiz.–mat. nauk, Voronezhskii gosuniversitet, Voronezh, 1987 , 160 pp.
Proceedings
139.
S. M. Sitnik, “O dzeta funktsiyakh po V.A.Sadovnichemu, postroennym po nulyam funktsii Besselya.”, Mezhdunarodnaya konferentsiya «Matematika v sozvezdii nauk».
K yubileyu rektora MGU akademika Viktora Antonovicha Sadovnichego :
Tezisy dokladov (Moskva, MGU, 1-2 aprelya 2024 g.), eds. Org. komitet: V. A. Sadovnichii, A. I. Shafarevich, I. A. Sokolov [i dr.]., Izdatelstvo Moskovskogo universiteta, 2024, 245–246 https://disk.yandex.ru/i/YJ84z2l1UMrIjQ
140.
Sitnik S.M., “O sovremennykh issledovaniyakh po teorii operatorov preobrazovaniya i ikh prilozheniyakh k differentsialnym uravneniyam”, Sovremennye razdely teorii differentsialnykh uravnenii i smezhnykh razdelov matematiki (Fergana, Uzbekistan, 12-13 marta 2020 g.), Konferentsiya posvyaschena 70–letiyu A.K. Urinova, Ferganskii gosudarstvennyi universitet, 2020, 139–143
141.
S.M. Sitnik, “Integral Transform Composition Method (ITCM) in transmutaion theory: how it works”, International Workshop on Transmutation operators and related topics IwTORT 2019 (Mexico, Queretero, CINVESTAV, 17-18.09.2019), Mexico, Queretero, CINVESTAV, Queretero, 2019, 17–18
142.
S.M. Sitnik, “Historical survey of transmutation theory: persons and result”, International Workshop on Transmutation operators and related topics IwTORT 2019 (Mexico, Queretero, CINVESTAV, 17-18.09.2019), Mexico, Queretero, CINVESTAV, Queretero, 2019, 16–17
143.
Sergei Sitnik, Shakhobiddin Karimov, “Integral Transforms Composition Method (ITCM) in Transmutation Theory”, Abstracts of plenary lectures, Abstracts of the 2nd International Conference on Mathematical Modelling in Applied Sciences, ICMMAS’19 (Belgorod State University (BSU), Belgorod, Russia, august 20-24), BSU, Belgorod-Russia & Alpha-Publishing, 2019, 7–8
144.
Pevnyi A. B. , Sitnik S. M., “Neravenstva dlya polozhitelno opredelennykh funktsii nad polem kompleksnykh chisel”, Tezisy dokladov VI shkoly - konferentsii po algebraicheskoi geometrii i kompleksnomu analizu (g. Koryazhma Arkhangelskoi oblasti, Filial S(A)FU im. M. V. Lomonosova), Filial S(A)FU im. M. V. Lomonosova, Koryazhma Arkhangelskoi oblasti, Koryazhma, 2017, 59–60
145.
S.M. Sitnik, “Buschman-Erdelyi Transmutations and applications”, Abstracts of the 8th international conference "Transform Methods and Special Functions (Bulgaria, Sofia, 27-31.08 2017), Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, 2017, 59
146.
S.M. Sitnik, “Applications of Buschman-Erdelyi Transmutations to Connection Formulas for Differential Equations with Singular Coefficients”, Abstracts of the 8th international conference "Differential and Functional Differential Equations (Moscow, 13-20.08.2017), RUDN University, Moscow, 2017, 169–170
147.
S. M. Sitnik, “Novye kraevye zadachi s K-sledom dlya reshenii s suschestvennymi osobennostyami v rabotakh V. V. Katrakhova”, Obratnye i nekorrektnye zadachi matematicheskoi fiziki, Mezhdunarodnaya konferentsiya, posvyaschennaya 80-letiyu so dnya rozhdeniya akademika Mikhaila Mikhailovicha Lavrenteva. (Novosibirsk, Rossiya, 5-12 avgusta 2012 g.), Tezisy dokladov, eds. chlen-korr. RAN V. G. Romanov, chlen-korr. RAN S. I. Kabanikhin, D. S. Anikonov, A. I. Kozhanov, Sibirskoe nauchnoe izdatelstvo, Novosibirsk, 2012, 439 http://conf.nsc.ru/files/conferences/lavr80/139479/lavr12-20121007.pdf#page=439
S.M. Sitnik, “Obobscheniya neravenstv Koshi-Bunyakovskogo i ikh prilozheniya”, Bunyakovsky International Conference (Kyiv, August 16-21, 2004), inst. matematiki NAN Ukrainy, Kiev, 2004, 119-120
Preprints
150.
Valeriy V. Katrakhov, Sergey M. Sitnik, Transmutation Method and Boundary-Value Problems for Singular Elliptic Equations, (English translation by Professor A.B.Muravnik), arxiv.org, the World, 2022 , 207 pp. https://doi.org/10.48550/arXiv.2210.02246
151.
S. M. Sitnik, On the Correctness of the Main Theorem for Absolutely Monotonic Functions, http://rgmia.org/papers/v17/v17a106.pdf, RGMIA preprint, 2014 , 4 pp., RGMIA Research Report Collection, 17, Article 106, (http://arxiv.org/abs/1202.1210, 2012, updated 2014, 4 pp.)
152.
Volovich V.V., Minin L.A., Mordvinov V.V., Sitnik S.M., Formula Obreshkova i eë primenenie v teorii approksimatsii Pade, Preprint, Institut avtomatiki i protsessov upravleniya DVO RAN, Vladivostok, 1994 , 20 pp.
153.
Lyakhovetskii G.V., Sitnik S.M., Operatory preobrazovaniya Vekua-Erdeii-Laundesa, Preprint, Institut avtomatiki i protsessov upravleniya DVO RAN, Vladivostok, 1994 , 23 pp.
154.
Karp D.B., Sitnik S.M., Drobnoe preobrazovanie Khankelya i ego prilozheniya v matematicheskoi fizike, Preprint, Institut avtomatiki i protsessov upravleniya DVO RAN, Vladivostok, 1994 , 24 pp.
155.
S. M. Sitnik, Neravenstva dlya polnykh ellipticheskikh integralov Lezhandra, Preprint IAPU DVO RAN, Institut avtomatiki i protsessov upravleniya DVO RAN, Vladivostok, 1994 , 17 pp.
156.
S. M. Sitnik, Neravenstva dlya ostatochnogo chlena ryada Teilora eksponentsialnoi funktsii, Preprint, Institut avtomatiki i protsessov upravleniya DVO RAN, Vladivostok, 1993 , 30 pp., arXiv:1608.08784 (2016, updated)
157.
S. M. Sitnik, Unitarnost i ogranichennost operatorov Bushmana-Erdeii nulevogo poryadka gladkosti, preprint, Institut avtomatiki i protsessov upravleniya DVO AN SSSR, Vladivostok, 1990 , 44 pp.
ArXiv
158.
Sergei M. Sitnik, Transmutations and Applications: a Survey, 2010, 2012 , 141 pp., This is an extended version of originally published survey in the book: “Advances in Modern Analysis and Mathematical Modeling”. Editors: Yu.F.Korobeinik, A.G.Kusraev. Vladikavkaz: Vladikavkaz Scientific Center, of the Russian Academy of Sciences and Republic of North Ossetia–Alania, 2008. P. 226-293. (In Russian)., arXiv: 1012.3741
159.
S.M. Sitnik, Generalized Young and Cauchy-Bunyakowsky Inequalities with Applications: a survey, 2010 , 51 pp., arXiv: arXiv:1012.3864
Popular science or education materials
160.
S. M. Sitnik, Differentsialnye uravneniya i matematicheskaya fizika: uchebnik, ID «BelGU» NIU «BelGU», Belgorod, 2023 , 224 pp.
161.
A. B. Pevnyi, S. M. Sitnik, Mat. Pros., 20, MCCME, Moscow, 2016, 135–142
Personalia
162.
A. Ya. Belov, V. M. Bukhshtaber, V. B. Vasilev, Yu. P. Virchenko, S. K. Kuizheva, A. G. Kusraev, D. K. Mamii, A. B. Muravnik, A. V. Pskhu, S. A. Rozanova, Z. A. Saidov, A. L. Semenov, S. M. Sitnik, A. L. Skubachevskii, A. P. Soldatov, E. L. Shishkina, A. G. Yagola, “Sultan Nazhmudinovich Askhabov
(k 70-letiyu so dnya rozhdeniya)”, Chebyshevckii sbornik, 25:2 (2024), 5–19 https://www.chebsbornik.ru/jour/article/view/1728/1181
A. O. Vatulyan, V. A. Kabelkov, T. N. Kabelkova, S. B. Klimentov, A. I. Kondratenko, A. G. Kusraev, A. N. Nikiforov, A. E. Pasenchuk, V. A. Rodin, V. G. Safronenko, S. M. Sitnik, A. N. Tkachev, V. G. Fetisov, “Pamyati Aleksandra Nikolaevicha Kabelkova (1947–2011)”, Vladikavk. matem. zhurn., 14:2 (2012), 74–77
V. V. Kravchenko, S. M. Sitnik, Transmutation Operators and Applications, Trends in Mathematics, eds. Kravchenko, Vladislav, Sitnik, Sergei M., Birkhauser, Springer Nature Switzerland AG, Basel, 2020 , XVII, 686 pp. https://www.springer.com/gp/book/9783030359133
Sitnik S.M., Fadeev S.A., Ob odnoi pare operatorov preobrazovaniya, Rukopis deponirovana v VINITI 13.07.1988, N 5629-V88. Voronezhskii politekhnicheskii institut, 1988
Âîðîíåæñêàÿ øêîëà ïî ñèíãóëÿðíûì äèôôåðåíöèàëüíûì óðàâíåíèÿì (ê ñòîëåòèþ È.À.Êèïðèÿíîâà) S. M. Sitnik VI International Conference "Function Spaces. Differential Operators. Problems of Mathematical Education", dedicated to the centennial anniversary of the corresponding member of Russian Academy of Sciences, academician of European Academy of Sciences L.D. Kudryavtsev November 17, 2023 17:10
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