S. A. Stepin, “Interpolating asymptotic integration methods
for second-order differential equations”, Izv. Math., 88:1 (2024), 114–132
2.
S. A. Stepin, A. I. Shafarevich, “Intermediate asymptotics for solutions to equations of Emden–Fowler type”, Dokl. Math., 110:3 (2024), 469–473
3.
S. O. Gorchinskiy, V. G. Danilov, S. Yu. Dobrokhotov, V. V. Kozlov, V. E. Nazaikinskii, N. N. Nefedov, D. O. Orlov, S. A. Stepin, I. A. Taimanov, D. V. Treschev, N. A. Tyurin, A. T. Fomenko, S. E. Yakush, “Andrei Igorevich Shafarevich (on his sixtieth birthday)”, Russian Math. Surveys, 79:3 (2024), 553–556
2023
4.
S. A. Stepin, “Spectral analysis of a dynamical system describing the diffusion of neutrons”, Funct. Anal. Appl., 57:2 (2023), 143–157
2022
5.
S. A. Stepin, A. G. Tarasov, “Dispersion relation in the kinetic model of collisionless plasma”, Theoret. and Math. Phys., 210:3 (2022), 386–397
6.
S. A. Stepin, A. I. Shafarevich, “WKB method for nonlinear equations of Emden–Fowler type”, Dokl. Math., 105:1 (2022), 39–44
2020
7.
S. A. Stepin, “Schur complement and continuous spectrum in a kinetic plasma model”, Dokl. Math., 101:3 (2020), 231–234
2017
8.
S. A. Stepin, V. V. Fufaev, “The phase-integral method in a problem of singular perturbation theory”, Izv. Math., 81:2 (2017), 359–390
9.
S. A. Stepin, “An estimate for the number of eigenvalues of the Schrödinger operator with a complex potential”, Sb. Math., 208:2 (2017), 269–284
10.
S. A. Stepin, “Splitting Problem for WKB Asymptotics in a Nonresonant Case and the Reduction Method for Linear Systems”, Proc. Steklov Inst. Math., 297 (2017), 264–284
2015
11.
S. A. Stepin, “Complex Potentials: Bound States, Quantum Dynamics and Wave Operators”, Semigroups of Operators – Theory and Applications (Bedlewo, Poland, October 2013), Springer-Verlag, 2015, 287–297
S. A. Stepin, V. V. Fufaev, “Phase integral method in the problem of quasiclassical localization of spectra”, Dokl. Math., 91:3 (2015), 318–322
13.
A. A. Shagayda, S. A. Stepin, A. G. Tarasov, “Electron velocity distribution moments for collisional inhomogeneous plasma in crossed electric and magnetic fields”, Russ. J. Math. Phys., 22:4 (2015), 532–545
S. A. Stepin, “Non-integrability by quadratures and formal asymptotic solutions of the Riccati equation”, Russian Math. Surveys, 69:6 (2014), 1123–1125
15.
S. A. Stepin, “Otsenka chisla sobstvennykh znachenii nesamosopryazhennogo operatora Shredingera”, Dokl. RAN, 89:2 (2014), 202–205
2013
16.
S. A. Stepin, “On spectral components of the Schrödinger operator with a complex potential”, Russian Math. Surveys, 68:1 (2013), 186–188
17.
S. A. Stepin, “Short-time Asymptotics for Semigroups of Diffusion Type and Beyond”, Trends in Mathematics, 2013, 415–424
2012
18.
S. A. Stepin, “Asymptotic estimates for the kernel of the semigroup generated by a perturbation of the biharmonic operator by a potential”, Sb. Math., 203:6 (2012), 893–921
19.
S. A. Stepin, “Interpolyatsiya v asimptoticheskom integrirovanii neostsillyatsionnykh differentsialnykh uravnenii”, Doklady RAN, 443:1 (2012), 1–4
2011
20.
S. A. Stepin, “Kernel estimates and the regularized trace of the semigroup generated by a potential perturbation of the bi-Laplacian”, Russian Math. Surveys, 66:3 (2011), 635–636
21.
S. A. Stepin, “Asimptotika teplovogo yadra i regulyarizovannyi sled diffuzionnoi polugruppy”, Mezhdunarodnaya konferentsiya “Differential Equations and Related Topics”, posvyaschennaya pamyati I. G. Petrovskogo, Izdatelstvo Moskovskogo gosudarstvennogo universiteta, Moskva, 2011, 352-353
2010
22.
S. A. Stepin, “Schwartz Kernel Asymptotics and Regularized Traces of Diffusion Semigroups”, Funct. Anal. Appl., 44:1 (2010), 76–80
23.
S. A. Stepin, “Parametrix, heat kernel asymptotics, and regularized trace of the diffusion semigroup”, Proc. Steklov Inst. Math., 271 (2010), 228–245
24.
S. A. Stepin, “Asimptoticheskoe integrirovanie neostsillyatsionnykh differentsialnykh uravnenii vtorogo poryadka”, Doklady RAN, 434:3 (2010), 315-318
25.
A. I. Reirat, S. A. Stepin, “Heat Kernel short-time expansion within the scope of Feynman-Kac formula”, AIP Conf. Proc., 44:1 (2010), 90–96
2009
26.
S. A. Stepin, A. G. Tarasov, “The resonance spectrum of a Schrödinger operator with a rapidly decaying potential”, Sb. Math., 200:12 (2009), 1847–1880
27.
S. A. Stepin, “Fredgolmovy operatornye semeistva v zadache vozmuscheniya rezonansov”, Sovremennye problemy matematiki i mekhaniki, 3, Matematika:1 (2009), 85–91
2008
28.
S. A. Stepin, “Feynman-Kac Formula: Regularized Trace and Short-time Asymptotics of the Heat Kernel”, AIP Conf. Proc., 1079 (2008), 162–173
29.
S. A. Stepin, “Parametriks, asimptotika yadra i regulyarizovannyi sled diffuzionnoi polugruppy”, Doklady RAN, 420:4 (2008), 459–462
S. A. Stepin, A. G. Tarasov, “Asymptotic distribution of resonances for one-dimensional Schrödinger operators with compactly supported potential”, Sb. Math., 198:12 (2007), 1787–1804
31.
S. A. Stepin, V. A. Titov, “O kontsentratsii spektra v modelnoi zadache singulyarnoi teorii vozmuschenii”, Doklady RAN, 413:1 (2007), 27–30
S. A. Stepin, Differentsialnye uravneniya (lektsionnyi kurs), Orbita-M, Moskva, 2007 , 70 pp.
33.
S. A. Stepin, K. M. Firsov, “O formulakh Gregori i Eilera-Maklorena”, Materialy mezhdunarodnoi konferentsii “Diofantovy i analiticheskie problemy teorii chisel”, posvyaschennoi 100-letiyu so dnya rozhdeniya A. O. Gelfonda (MGu, iyun 2007), 2007, 33-34
34.
S. A. Stepin, K. M. Firsov, Operatsionnye metody v ischislenii konechnykh raznostei, Izdatelstvo TsPI pri mekhaniko-matematicheskom fakultete MGU, Moskva, 2007 , 23 pp.
2006
35.
S. A. Stepin, “Fredholm analytic operator families and perturbation of resonances”, Journ. of Geom. and Symm. in Physics, 6 (2006), 109–117
36.
S. A. Stepin, V. A. Titov, “Dichotomy of WKB-solutions for discrete SchrÖdinger equation”, JDCS, 12:1 (2006), 135-144
2005
37.
S. A. Stepin, V. N. Titov, “On perturbation of a multiple eigenvalue”, Russian Math. Surveys, 60:1 (2005), 169–170
38.
S. A. Stepin, “Metod VKB i dikhotomiya dlya obyknovennykh differentsialnykh uravnenii”, Dokl. RAN, 404:6 (2005), 749-752
A. A. Arzhanov, S. A. Stepin, “WKB-approximation and spectral asymptotics in a problem of singular perturbation theory”, J. Math. Sci., 126:5 (2005), 1467-1484
S. A. Stepin, “The Spectrum of Resonances and the Trace Formula in a Potential Scattering Problem”, Funct. Anal. Appl., 38:3 (2004), 224–233
41.
S. A. Stepin, “Dissipative Schrödinger operator without a singular continuous spectrum”, Sb. Math., 195:6 (2004), 897–915
42.
S. A. Stepin, “Raspredelenie polyusov matritsy rasseyaniya i ryady Dirikhle”, Dokl. RAN, 399:5 (2004), 605-608
43.
S. A. Stepin, “Scattering and spectral singularities for dissipative operators of mathematical physics”, JNPM, 11:Suppl. (2004), 194-203
2003
44.
A. A. Arzhanov, S. A. Stepin, “VKB-priblizheniya i spektralnye asimptotiki v odnoi zadache singulyarnoi teorii vozmuschenii”, Sovremennaya matematika i ee prilozheniya, 8 (2003), 108-125
S. A. Stepin, A. A. Arzhanov, “On localization of the spectrum in a problem in singular perturbation theory”, Russian Math. Surveys, 57:3 (2002), 608–610
46.
S. A. Stepin, “On Jost-Type Solutions to Quasilinear Equations with Power Nonlinearity”, Proc. Steklov Inst. Math., 236 (2002), 319–324
2001
47.
S. A. Stepin, “On the Friedrichs Model in One-Velocity Transport Theory”, Funct. Anal. Appl., 35:2 (2001), 154–157
48.
S. A. Stepin, “Wave operators for the linearized Boltzmann equation in one-speed transport theory”, Sb. Math., 192:1 (2001), 141–162
49.
S. A. Stepin, “On point spectrum of a class of transport operators”, International conference “Diff. Equations and Related Topics” dedicated to the Centenary of Ivan G. Petrovskii, Moscow Univ. Press, 2001, 397-398
50.
S. A. Stepin, “Printsip Birmana-Shvingera i gipoteza Nelkina v teorii perenosa neitronov”, Doklady RAN, 380:1 (2001), 19-22
S. A. Stepin, “On the asymptotic behavior of solutions to second order ordinary differential equations”, Functional-Differentional equations, 8:3-4 (2001), 425-434
52.
A. A. Arzhanov, S. A. Stepin, “Kvaziklassicheskie spektralnye asimptotiki i yavlenie Stoksa dlya uravneniya Vebera”, Dep. v VINITI, #1514-V2100 (2001), 1-37
53.
A. A. Arzhanov, S. A. Stepin, “Kvaziklassicheskie spektralnye asimptotiki i yavlenie Stoksa dlya uravneniya Vebera”, Dokl. RAN, 378:1 (2001), 18-21
S. A. Stepin, “Perturbation of the spectrum and wave operators in linear transport theory”, Russian Math. Surveys, 54:5 (1999), 1049–1050
55.
S. A. Stepin, “Singular points of second-order differential equations: solutions with logarithmic terms”, Russian Math. Surveys, 54:1 (1999), 266–268
56.
S. A. Stepin, “VKB-resheniya kvazilineinogo differentsialnogo uravneniya vtorogo poryadka”, Differentsialnye uravneniya, 35:11 (1999), 1572-1573
57.
S. A. Stepin, “Functional model in the spectral theory of transport operators”, B. Sz-Nady memorial conf (Szeged, 2-6Aug. 1999), 1999
58.
S. A. Stepin, “O chisle obuslovlennosti sistemy sobstvennykh funktsii nelineinoi spektralnoi zadachi”, Dokl. RAN, 364:2 (1999), 170-173
59.
S. A. Stepin, “O sobstvennykh znacheniyakh operatorov, obrazuyuschikh golomorfnoe semeistvo”, Izbrannye voprosy matematiki, mekhaniki i ikh prilozhenii, Izdatelstvo Moskovskogo gosudarstvennogo universiteta, 1999, 277-288
1998
60.
S. A. Stepin, “On the spectral properties of the non-self-conjugate operator $i\varepsilon\dfrac{d^2}{dx^2}+q(x)$”, Russian Math. Surveys, 53:3 (1998), 639–641
61.
S. A. Stepin, “On eigenvalue multiplicities for Sturm-Liouville operators forming a holomorphic family.”, RMS, 53:4 (1998), 850-851
1997
62.
S. A. Stepin, “On Finiteness Conditions for the Point Spectrum in the Nonself-Adjoint Friedrichs Model”, Funct. Anal. Appl., 31:4 (1997), 292–294
63.
S. A. Stepin, “A model of transition from discrete spectrum to continuous one in the singular perturbation theory”, Fundam. Prikl. Mat., 3:4 (1997), 1199–1227
64.
S. A. Stepin, “Non-selfadjoint singular perturbations and spectral properties of the Orr–Sommerfeld boundary-value problem”, Sb. Math., 188:1 (1997), 137–156
1996
65.
S. A. Stepin, “Spectral Properties of the Orr–Sommerfeld Problem in the Vanishing Viscosity Limit”, Funct. Anal. Appl., 30:4 (1996), 292–294
66.
S. A. Stepin, “The Rayleigh hydrodynamical problem: a theorem on eigenfunction expansion and the stability of plane-parallel flows”, Izv. Math., 60:6 (1996), 1293–1316
67.
S. A. Stepin, “On the resonance effect for singularly perturbed operator bundles”, Russian Math. Surveys, 51:5 (1996), 1003–1005
68.
S. A. Stepin, “Singular perturbation of operator pensils with continuous spectrum and properties of oscillatory regimes in magnetohydrodynamics”, RMS, 51:5 (1996), 927-928
69.
S. A. Stepin, “Expansion in continuous spectrum eigenfunctions of Rayleigh equation”, RMS, 24:4 (1996), 90-91
1995
70.
S. A. Stepin, “Nonself-adjoint Friedrichs Model in Hydrodynamic Stability”, Funct. Anal. Appl., 29:2 (1995), 91–101
71.
S. A. Stepin, “Non-self-conjugate singular perturbations: a model of transition from a discrete to a continuous spectrum”, Russian Math. Surveys, 50:6 (1995), 1311–1313
72.
S. A. Stepin, “Non-selfadjoint singular perturbations: a model for the passage from discrete to continuous spectrum.”, RMS, 50:4 (1995), 746-747
73.
S. A. Stepin, “Scattering problem for Friedrichs model related to Rayleigh equation”, Spectral and evolutional problems, Proc. of Forth Crimean Math. School-Symposium (Simferopol, 1995), 1995, 45-51
1994
74.
S. A. Stepin, “Kraevaya zadacha dlya uravneniya so spektralnym parametrom pri starshei proizvodnoi: struktura spektra i model rasseyaniya”, Uspekhi matematicheskikh nauk, 49:4 (1994), 89-90
S. A. Stepin, “Continuous Spectrum Eigenfunction Expansions Associated with the Rayleigh Equation”, Funct. Anal. Appl., 27:3 (1993), 219–221
1994
76.
S. A. Stepin, “Spectrum and completeness of natural oscillations of the atmosphere with temperature stratification”, Russian Acad. Sci. Sb. Math., 79:1 (1994), 179–190
1993
77.
S. A. Stepin, “Rayleigh problem and Friedriehs model”, Operator theory, Adv. Appl., Birkhauser, Basel, 1993, 256-265
78.
S. A. Stepin, “Ob operatore Laplasa so spektralnym parametrom v granichnom uslovii”, Trudy Krymskoi matematicheskoi shkoly-simpoziuma, vyp.3 (Simferopol, 1993 g.), 1993, 68-69
79.
S. A. Stepin, “O zadache rasseyaniya dlya uravneniya Releya”, Uspekhi matematicheskikh nauk, 48:4 (1993)
80.
S. A. Stepin, “O normalnykh kolebaniyakh atmosfery s temperaturnoi stratifikatsiei”, Trudy Krymskoi matematicheskoi shkoly-simpoziuma, vyp. 2 (Simferopol, 1993), 1993, 93-94
1992
81.
S. A. Stepin, “On scattering problem for Rayleigh equation”, Mezhdunarodnaya konferentsiya, posvyaschennaya 100-letiyu so dnya rozhdeniya Stefana Banakha (Lvov, 6-8 maya 1992 g.), 1992, 39-40
1991
82.
S. A. Stepin, “Ustoichivost reshenii zadachi Koshi dlya uravneniya Releya”, Uspekhi matematicheskikh nauk, 46:6 (1991), 170-171
S. A. Stepin, “Spektr kolebanii kapillyarnoi vyazkoi zhidkosti, zapolnyayuschei koltso i sharovoi sloi”, Chislennye metody v zadachakh mekhaniki, Izdatelstvo Moskovskogo gosudarstvennogo universiteta, 1991, 80-91
84.
S. A. Stepin, “Spectral theory of operator pencils and boundary eigenvalue problems of mathematical physics”, Tagungsbericht “Spectral theory of singular ordinary differential operators”, 3, 1991, 11-12
1990
85.
S. A. Stepin, “Spectral analysis of a singular boundary-value problem modeling the vibrations of the atmosphere”, Funct. Anal. Appl., 24:4 (1990), 340–342
86.
S. A. Stepin, “The vertical structure of atmospheric vibrations: double completeness of the eigenfunctions of the problem”, Russian Math. Surveys, 45:6 (1990), 166–167
Мини-конференция в память Р.А. Минлоса: V. M. Tikhomirov, A. M. Vershik, V. A. Malyshev, M. L. Blank, G. A. Kabatiansky, S. Shlosman, B. M. Gurevich, E. A. Zhizhina, E. A. Pechersky, A. G. Tarasov, S. A. Stepin Dobrushin Mathematics Laboratory Seminar February 27, 2018 15:00
Об одной модельной задаче Штурма–Лиувилля S. A. Stepin, V. V. Fufaev Scientic seminar «Actual problems of geometry and mechanics » named after Prof. V.V. Trofimov February 27, 2015 20:30
2024
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