S. A. Stepin, “Interpolating asymptotic integration methods
for second-order differential equations”, Izv. Math., 88:1 (2024), 114–132
2023
2.
S. A. Stepin, “Spectral analysis of a dynamical system describing the diffusion of neutrons”, Funct. Anal. Appl., 57:2 (2023), 143–157
2022
3.
S. A. Stepin, A. G. Tarasov, “Dispersion relation in the kinetic model of collisionless plasma”, Theoret. and Math. Phys., 210:3 (2022), 386–397
4.
S. A. Stepin, A. I. Shafarevich, “WKB method for nonlinear equations of Emden–Fowler type”, Dokl. Math., 105:1 (2022), 39–44
2020
5.
S. A. Stepin, “Schur complement and continuous spectrum in a kinetic plasma model”, Dokl. Math., 101:3 (2020), 231–234
2017
6.
S. A. Stepin, V. V. Fufaev, “The phase-integral method in a problem of singular perturbation theory”, Izv. Math., 81:2 (2017), 359–390
7.
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
8.
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
9.
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
11.
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
13.
S. A. Stepin, “Otsenka chisla sobstvennykh znachenii nesamosopryazhennogo operatora Shredingera”, Dokl. RAN, 89:2 (2014), 202–205
2013
14.
S. A. Stepin, “On spectral components of the Schrödinger operator with a complex potential”, Russian Math. Surveys, 68:1 (2013), 186–188
15.
S. A. Stepin, “Short-time Asymptotics for Semigroups of Diffusion Type and Beyond”, Trends in Mathematics, 2013, 415–424
2012
16.
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
17.
S. A. Stepin, “Interpolyatsiya v asimptoticheskom integrirovanii neostsillyatsionnykh differentsialnykh uravnenii”, Doklady RAN, 443:1 (2012), 1–4
2011
18.
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
19.
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
20.
S. A. Stepin, “Schwartz Kernel Asymptotics and Regularized Traces of Diffusion Semigroups”, Funct. Anal. Appl., 44:1 (2010), 76–80
21.
S. A. Stepin, “Parametrix, heat kernel asymptotics, and regularized trace of the diffusion semigroup”, Proc. Steklov Inst. Math., 271 (2010), 228–245
22.
S. A. Stepin, “Asimptoticheskoe integrirovanie neostsillyatsionnykh differentsialnykh uravnenii vtorogo poryadka”, Doklady RAN, 434:3 (2010), 315-318
23.
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
24.
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
25.
S. A. Stepin, “Fredgolmovy operatornye semeistva v zadache vozmuscheniya rezonansov”, Sovremennye problemy matematiki i mekhaniki, 3, Matematika:1 (2009), 85–91
2008
26.
S. A. Stepin, “Feynman-Kac Formula: Regularized Trace and Short-time Asymptotics of the Heat Kernel”, AIP Conf. Proc., 1079 (2008), 162–173
27.
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
29.
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.
31.
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
32.
S. A. Stepin, K. M. Firsov, Operatsionnye metody v ischislenii konechnykh raznostei, Izdatelstvo TsPI pri mekhaniko-matematicheskom fakultete MGU, Moskva, 2007 , 23 pp.
2006
33.
S. A. Stepin, “Fredholm analytic operator families and perturbation of resonances”, Journ. of Geom. and Symm. in Physics, 6 (2006), 109–117
34.
S. A. Stepin, V. A. Titov, “Dichotomy of WKB-solutions for discrete SchrÖdinger equation”, JDCS, 12:1 (2006), 135-144
2005
35.
S. A. Stepin, V. N. Titov, “On perturbation of a multiple eigenvalue”, Russian Math. Surveys, 60:1 (2005), 169–170
36.
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
39.
S. A. Stepin, “Dissipative Schrödinger operator without a singular continuous spectrum”, Sb. Math., 195:6 (2004), 897–915
40.
S. A. Stepin, “Raspredelenie polyusov matritsy rasseyaniya i ryady Dirikhle”, Dokl. RAN, 399:5 (2004), 605-608
41.
S. A. Stepin, “Scattering and spectral singularities for dissipative operators of mathematical physics”, JNPM, 11:Suppl. (2004), 194-203
2003
42.
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
44.
S. A. Stepin, “On Jost-Type Solutions to Quasilinear Equations with Power Nonlinearity”, Proc. Steklov Inst. Math., 236 (2002), 319–324
2001
45.
S. A. Stepin, “On the Friedrichs Model in One-Velocity Transport Theory”, Funct. Anal. Appl., 35:2 (2001), 154–157
46.
S. A. Stepin, “Wave operators for the linearized Boltzmann equation in one-speed transport theory”, Sb. Math., 192:1 (2001), 141–162
47.
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
48.
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
50.
A. A. Arzhanov, S. A. Stepin, “Kvaziklassicheskie spektralnye asimptotiki i yavlenie Stoksa dlya uravneniya Vebera”, Dep. v VINITI, #1514-V2100 (2001), 1-37
51.
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
53.
S. A. Stepin, “Singular points of second-order differential equations: solutions with logarithmic terms”, Russian Math. Surveys, 54:1 (1999), 266–268
54.
S. A. Stepin, “VKB-resheniya kvazilineinogo differentsialnogo uravneniya vtorogo poryadka”, Differentsialnye uravneniya, 35:11 (1999), 1572-1573
55.
S. A. Stepin, “Functional model in the spectral theory of transport operators”, B. Sz-Nady memorial conf (Szeged, 2-6Aug. 1999), 1999
56.
S. A. Stepin, “O chisle obuslovlennosti sistemy sobstvennykh funktsii nelineinoi spektralnoi zadachi”, Dokl. RAN, 364:2 (1999), 170-173
57.
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
58.
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
59.
S. A. Stepin, “On eigenvalue multiplicities for Sturm-Liouville operators forming a holomorphic family.”, RMS, 53:4 (1998), 850-851
1997
60.
S. A. Stepin, “On Finiteness Conditions for the Point Spectrum in the Nonself-Adjoint Friedrichs Model”, Funct. Anal. Appl., 31:4 (1997), 292–294
61.
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
62.
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
63.
S. A. Stepin, “Spectral Properties of the Orr–Sommerfeld Problem in the Vanishing Viscosity Limit”, Funct. Anal. Appl., 30:4 (1996), 292–294
64.
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
65.
S. A. Stepin, “On the resonance effect for singularly perturbed operator bundles”, Russian Math. Surveys, 51:5 (1996), 1003–1005
66.
S. A. Stepin, “Singular perturbation of operator pensils with continuous spectrum and properties of oscillatory regimes in magnetohydrodynamics”, RMS, 51:5 (1996), 927-928
67.
S. A. Stepin, “Expansion in continuous spectrum eigenfunctions of Rayleigh equation”, RMS, 24:4 (1996), 90-91
1995
68.
S. A. Stepin, “Nonself-adjoint Friedrichs Model in Hydrodynamic Stability”, Funct. Anal. Appl., 29:2 (1995), 91–101
69.
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
70.
S. A. Stepin, “Non-selfadjoint singular perturbations: a model for the passage from discrete to continuous spectrum.”, RMS, 50:4 (1995), 746-747
71.
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
72.
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
74.
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
75.
S. A. Stepin, “Rayleigh problem and Friedriehs model”, Operator theory, Adv. Appl., Birkhauser, Basel, 1993, 256-265
76.
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
77.
S. A. Stepin, “O zadache rasseyaniya dlya uravneniya Releya”, Uspekhi matematicheskikh nauk, 48:4 (1993)
78.
S. A. Stepin, “O normalnykh kolebaniyakh atmosfery s temperaturnoi stratifikatsiei”, Trudy Krymskoi matematicheskoi shkoly-simpoziuma, vyp. 2 (Simferopol, 1993), 1993, 93-94
1992
79.
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
80.
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
82.
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
83.
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
84.
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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