Persons: Kachalov, Vasilii Ivanovich

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Kachalov, Vasilii Ivanovich

Total publications:	40 (40)
in MathSciNet:	20 (20)
in zbMATH:	17 (17)
in Web of Science:	11 (11)
in Scopus:	15 (15)
Cited articles:	16
Citations:	57

Number of views:
This page:	2019
Abstract pages:	2285
Full texts:	799
References:	286

Associate professor

Doctor of physico-mathematical sciences

E-mail:

https://www.mathnet.ru/eng/person63224

List of publications on Google Scholar

List of publications on ZentralBlatt

https://www.webofscience.com/wos/author/record/AAQ-8946-2021

https://www.scopus.com/authid/detail.url?authorId=55221343400

Full list of publications:

scientific publications

		Citations (Crossref Cited-By Service + Math-Net.Ru)

1.	V. S. Besov, V. I. Kachalov, “Holomorphic Regularization of Singularly Perturbed Integro-Differential Equations”, Differential Equations, 60:1 (2024), 1–11 (to appear)
2.	M. M. Arslanov, M. V. Zaitsev, A. A. Fomin, V. I. Kachalov, V. F. Safonov, P. A. Krylov, E. A. Timoshenko, A. R. Chekhlov, “Askar Akanovich Tuganbaev (k 70-letiyu so dnya rozhdeniya)”, Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika, 2024, no. 87, 175–179
3.	V. I. Kachalov, “ON ε-REGULAR SOLUTIONS TO DIFFERENTIAL EQUATIONS WITH A SMALL PARAMETER”, Siberian Mathematical Journal, 64:1 (2023), 93–101 (to appear)
4.	V. I. Kachalov, D. A. Maslov, “Analyticity and Pseudo-Analyticity in the Small Parameter Method”, Computational Mathematics and Mathematical Physics, 63:11 (2023), 1996–2004
5.	M. I. Besova, V. I. Kachalov, “Analytical Aspects of the Theory of Tikhonov Systems”, Mathematics, 10:1 (2022), 72 (Published online) , 14 pp. www.mdpi.com/2227-7390/10/1/72	6 ^[x]
6.	Kachalov V.I., “Pseudoholomorphic and ε-Pseudoregular Solutions of Singularly Perturbed Problems”, Differential Equations, 58:3 (2022), 357–366 (to appear)
7.	V. I. Kachalov, “Holomorphic Regularization of Boundary-Value Problems for Tikhonov Systems”, Journal of Mathematical Sciences, 268:1 (2022), 63-69	2 ^[x]
8.	V. I. Kachalov, “Smoothness in the viscosity of solutions of nonlinear differential equations in a Banach space”, Proceedings of the Voronezh spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 4, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 193, VINITI, Moscow, 2021, 99–103
9.	M. I. Besova, V. I. Kachalov, “On a nonlinear differential equation in a Banach space”, Sib. Èlektron. Mat. Izv., 18:1 (2021), 332–337
10.	M. I. Besova, V. I. Kachalov, “Axiomatic Approach in the Analytic Theory of Singular Perturbations”, Axioms, 9:1 (2020), 9	2 ^[x]
11.	V. I. Kachalov, “Smoothness with respect to viscosity of the solutions of navier–stokes-type operator equations”, Comput. Math. Math. Phys., 59:1 (2019), 121–127
12.	V. I. Kachalov, “Holomorphic Regularization of Boundary-Value Problems for Tikhonov Systems”, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 173, 2019, 65–71
13.	A. Bobodzhanov, V. Safonov, V. Kachalov, “Asymptotic and Pseudoholomorphic Solutions of Singularly Perturbed Differential and Integral Equations in the Lomov’s Regularization Method”, Axioms, 8:27 (2019)	13 ^[x]
14.	V. I. Kachalov, “Analytic Theory of Singular Perturbations and Lomov’s Regularization Method”, Lecture Notes in Computer Science, 11386, Springer, 2019, 305–312
15.	V. I. Kachalov, “Poincare decomposition theorems and the Lomov regularization method”, Journal of Physics: Conference Series (8th International Conference on Mathematical Modeling in Physical Science), 1391:1 (2019), 012134	1 ^[x]
16.	V. I. Kachalov, “Differential equations with a small parameter in a banach space”: D. G. Sánchez, Understanding Banach Spaces, Nova Science Publishers, Inc., 2019, 415–428
17.	V. I. Kachalov, “On one method of solving singularly perturbed systems of Tikhonov's type”, Russian Math. (Iz. VUZ), 62:6 (2018), 21–26
18.	V. I. Kachalov, Yu. S. Fedorov, “On the method of a small parameter in nonlinear mathematical physics”, Sib. Èlektron. Mat. Izv., 15 (2018), 1680–1686
19.	V. I. Kachalov, “On holomorphic regularization of strongly nonlinear singularly perturbed problems”, Ufa Math. J., 10:3 (2018), 35–42
20.	V. I. Kachalov, “Golomorfnaya regulyarizatsiya singulyarnykh vozmuschenii v banakhovom prostranstve”, Differentsialnye uravneniya, 54:6 (2018), 794–802
21.	V. I. Kachalov, M. I. Besova, “O golomorfnoi regulyarizatsii nelineinykh singulyarno vozmuschennykh kraevykh zadach”, Vestnik MEI, 2018, no. 4, 152–156	1 ^[x]
22.	V. I. Kachalov, “On a method of holomorphic regularization of singularly perturbed problems”, Russian Math. (Iz. VUZ), 61:6 (2017), 44–50
23.	V. I. Kachalov, “On the holomorphic regularization of singularly perturbed systems of differential equations”, Comput. Math. Math. Phys., 57:4 (2017), 653–660
24.	V. I. Kachalov, Yu. S. Fedorov, “Golomorfnaya regulyarizatsiya slabo nelineinykh singulyarno vozmuschennykh zadach”, Differentsialnye uravneniya i protsessy upravleniya, 2016, no. 3, 17–30
25.	V. I. Kachalov, “O golomorfnoi regulyarizatsii kraevykh zadach”, Vestnik MEI, 2015, no. 6, 145–147
26.	V. I. Kachalov, “Holomorphic in the parameter integrals of the second order equations perturbed singularly and limit theorems”, SPbSPU Journal. Physics and Mathematics, 2014, no. 2(194), 103–109
27.	V. I. Kachalov, “Kommutatsionnye sootnosheniya, gomomorfizmy i differentsialnye uravneniya”, Differentsialnye uravneniya, 50:1 (2014), 10–16
28.	V. I. Kachalov, “Teorema Tikhonova o predelnom perekhode i psevdogolomorfnye resheniya singulyarno vozmuschennykh zadach”, Doklady RAN, 458:6 (2014), 630–632
29.	V. I. Kachalov, “Ob algebraicheskikh osnovakh teorii singulyarnykh vozmuschenii”, Differentsialnye uravneniya, 49:3 (2013), 397–401
30.	V. I. Kachalov, “Golomorfnaya regulyarizatsiya singulyarno vozmuschennogo uravneniya vtorogo poryadka”, Vestnik MEI, 2013, no. 6, 95–103
31.	V. I. Kachalov, “Algebraicheskie osnovy teorii singulyarno vozmuschennykh uravnenii”, Doklady RAN, 443:1 (2012), 7–8
32.	V. I. Kachalov, “Psevdogolomorfnye resheniya singulyarno vozmuschennykh sistem differentsialnykh uravnenii”, Vestnik MEI, 2012, no. 6, 13–21
33.	V. I. Kachalov, “Golomorfizmy v teorii differentsialnykh uravnenii”, Differentsialnye uravneniya, 47:11 (2011), 1660–1661
34.	V. I. Kachalov, “Golomorfnye po parametru integraly singulyarno vozmuschennykh sistem”, Vestnik MEI, 2011, no. 8, 57–68
35.	V. I. Kachalov, “Golomorfnaya regulyarizatsiya singulyarno vozmuschennykh zadach”, Vestnik MEI, 2010, no. 6, 54–62
36.	V. I. Kachalov, S. A. Lomov, “Pseudo-analytic solutions of singularly perturbed problems”, Dokl. Math., 49:1 (1994), 194–197
37.	V. I. Kachalov, “Smoothness of solutions of differential equations that contain a parameter”, Differ. Equ., 26:10 (1990), 1264–1268
38.	V. I. Kachalov, “Existence of solutions that are smooth with respect to the parameter for singularly perturbed equations”, Differ. Uravn., 26:9 (1990), 1641–1643
39.	V. I. Kachalov, S. A. Lomov, “Analytic properties of solutions of differential equations with singular points”, Dokl. Math., 39:1 (1989), 12–14
40.	V. I. Kachalov, S. A. Lomov, “Smoothness of the solutions of differential equations with respect to a singularly entering parameter”, Dokl. Math., 37:2 (1988), 465–467

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National Research University "Moscow Power Engineering Institute"

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