Edit Profile (opens in new tab) Levenshtam, Valeriĭ Borisovich Compute Distance To: Compute Author ID: levenshtam.valerii-borisovich Published as: Levenshtam, V. B.; Levenstam, V. B.; Levenshtam, Valeriĭ Borisovich; Levenshtam, Valery Borisovich; Levenshtam, V. Documents Indexed: 69 Publications since 1976 Co-Authors: 16 Co-Authors with 23 Joint Publications 34 Co-Co-Authors all top 5 Co-Authors 46 single-authored 6 Babich, Pavel Vasil’evich 3 Gusachenko, V. V. 3 Ishmeev, Marat Rashidovich 2 Prika, S. P. 1 Abood, H. D. 1 Basistaya, D. A. 1 Do Ngoc Thanh 1 Do, Ngoc T. 1 Erusalimskii, Yakov M. 1 Il’icheva, E. A. 1 Ivleva, Natal’ya Ivleva 1 Khatlamadzhiyan, G. L. 1 Korablina, Ella Viktorovna 1 Krutenko, E. V. 1 Shubin, P. E. 1 Zenkovskaya, Svetlana M. all top 5 Serials 8 Mathematical Notes 7 Siberian Mathematical Journal 6 Journal of Mathematical Sciences (New York) 6 Differential Equations 4 Russian Mathematics 4 Doklady Mathematics 4 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 3 Differential Equations 3 Izvestiya Severo-Kavkazskogo Nauchnogo Tsentra Vyssheĭ Shkoly. Estestvennye Nauki 3 Computational Mathematics and Mathematical Physics 2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 2 Sibirskiĭ Matematicheskiĭ Zhurnal 2 Asymptotic Analysis 2 Russian Journal of Mathematical Physics 1 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 1 Soviet Mathematics. Doklady 1 Russian Academy of Sciences. Izvestiya. Mathematics 1 Physics-Doklady 1 St. Petersburg Mathematical Journal 1 Izvestiya: Mathematics 1 Izvestiya Vysshikh Uchebnykh Zavedeniĭ. Severo-Kavkazskiĭ Region. Estestvennye Nauki 1 Doklady Physics 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Eurasian Mathematical Journal all top 5 Fields 50 Partial differential equations (35-XX) 18 Ordinary differential equations (34-XX) 14 Fluid mechanics (76-XX) 4 Classical thermodynamics, heat transfer (80-XX) 2 Operator theory (47-XX) 2 Numerical analysis (65-XX) 1 History and biography (01-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 38 Publications have been cited 114 times in 42 Documents Cited by ▼ Year ▼ Asymptotic integration of a system of differential equations with a large parameter in the critical case. Zbl 1249.34123Do Ngoc Thanh; Levenshtam, V. B. 7 2011 Asymptotic expansion of the solution to the problem of vibrational convection. Zbl 0997.76072Levenshtam, V. B. 6 2000 Linear parabolic problem: high-frequency asymptotics in the critical case. Zbl 1299.35146Gusachenko, V. V.; Il’icheva, E. A.; Levenshtam, V. B. 6 2013 Asymptotic integration of parabolic problems with large high-frequency summands. Zbl 1114.35011Levenshtam, V. B. 6 2005 The averaging method in the convection problem with high-frequency oblique vibrations. Zbl 0874.35094Levenshtam, V. B. 5 1996 Asymptotic integration of a system of differential equations with high-frequency terms in the critical case. Zbl 1258.34123Do, N. T.; Levenshtam, V. B. 5 2012 Justification of the averaging method for parabolic equations containing rapidly oscillating terms with large amplitudes. Zbl 1105.35137Levenshtam, V. B. 5 2006 Direct and inverse asymptotic problems with high-frequency terms. Zbl 1342.35387Babich, P. V.; Levenshtam, V. B. 5 2016 Justification of the averaging method for the convection problem with high-frequency vibrations. Zbl 0834.35012Levenshtam, V. B. 5 1993 Asymptotic integration of differential equations with rapidly oscillating terms of large amplitude. II. Zbl 1190.34058Levenshtam, V. B. 5 2005 Asymptotic integration of differential equations with oscillatory terms of large amplitudes. I. Zbl 1109.34004Levenshtam, V. B. 4 2005 Recovery of a rapidly oscillating source in the heat equation from solution asymptotics. Zbl 06864318Babich, P. V.; Levenshtam, V. B.; Prika, S. P. 4 2017 Asymptotic integration of linear parabolic problems with high-frequency coefficients in the critical case. Zbl 1422.35104Levenshtam, V. B. 3 2014 Averaging of quasilinear parabolic equations with rapidly oscillating principal part. Exponential dichotomy. Zbl 0795.35041Levenshtam, V. B. 3 1992 The asymptotics of solutions of ordinary differential equations with large high frequency terms. Zbl 1072.34009Basistaya, D. A.; Levenshtam, V. B. 3 2004 Recovery of a rapidly oscillating absolute term in the multidimensional hyperbolic equation. Zbl 07035826Babich, P. V.; Levenshtam, V. B. 3 2018 Asymptotics of a solution to a second order linear differential equation with large summands. Zbl 1228.34025Krutenko, E. V.; Levenshtam, V. B. 2 2010 Extension of the averaging theory to differential equations with large-amplitude rapidly oscillating terms. The problem of periodic solutions. Zbl 1180.34042Levenshtam, V. B.; Khatlamadzhiyan, G. L. 2 2006 Asymptotic integration of a problem of convection. Zbl 0712.76083Levenshtam, V. B. 2 1989 Asymptotic integration of a vibrational convection problem. Zbl 0974.76079Levenshtam, V. B. 2 1998 Construction of higher approximations of the averaging method for parabolic initial-boundary value problems using the boundary layer method. Zbl 1131.35344Levenshtam, V. B. 2 2004 Kantorovich theorem and justification of asymptotics of solutions of differential equations with large high-frequency summands. Zbl 1228.34062Levenshtam, V. B. 2 2009 Exponential dichotomy and the averaging method for parabolic equations with a rapidly oscillating principal part. Zbl 0782.35034Levenshtam, V. B. 2 1991 Asymptotic expansions of periodic solutions of ordinary differential equations with large high-frequency terms. Zbl 1159.34035Levenshtam, V. B. 2 2008 Unique solvability of parabolic equations with almost periodic coefficients in Hölder spaces. Zbl 1063.35067Levenshtam, V. B. 2 2003 On correlation of two solution classes of Navier-Stokes equation. Zbl 1221.35281Levenshtam, V. B. 2 2010 Justification of the averaging method for a system of equations with the Navier-Stokes operator in the principal part. Zbl 1318.35066Levenshtam, V. B. 2 2015 Asymptotic integration of linear system with high-frequency coefficients and Stokes operator in the main part. Zbl 1318.35081Levenshtam, V. B.; Ishmeev, M. R. 2 2015 High-frequency asymptotics of a solution to a linear system with the Stokes operator in the principal part. Zbl 1331.35091Ishmeev, M. R.; Levenshtam, V. B. 2 2015 The boundary layer method and an effective construction of higher approximations by the averaging method. Zbl 0389.35025Levenstam, V. B. 2 1978 Asymptotic integration of differential equations with large high-frequency terms. Zbl 1133.34344Levenshtam, V. B. 2 2005 Parabolic equations with large parameter. Inverse problems. Zbl 1448.35576Levenshtam, V. B. 2 2020 Asymptotic integration of the Navier-Stokes system with a rapidly oscillating mass force. Zbl 1002.35096Levenshtam, V. B. 2 2001 Method of averaging for quasilinear parabolic equations with fast oscillating coefficients. Zbl 1042.35020Levenshtam, V. B. 1 2000 Justification of the averaging method for the problem of thermal vibrational convection. Zbl 0923.76303Levenshtam, V. B. 1 1996 Asymptotic analysis of linear differential equations with a large parameter: the resonance case. Zbl 1251.34075Levenshtam, V. B. 1 2012 Reconstruction of a high-frequency source term of the wave equation from the asymptotics of the solution. Case of the Cauchy problem. Zbl 1471.35334Korablina, Ella Viktorovna; Levenshtam, Valery Borisovich 1 2021 The averaging principle in the case of the Cauchy problem for quasilinear parabolic equations with variable principal part. Zbl 0953.35054Levenshtam, V. B. 1 2000 Reconstruction of a high-frequency source term of the wave equation from the asymptotics of the solution. Case of the Cauchy problem. Zbl 1471.35334Korablina, Ella Viktorovna; Levenshtam, Valery Borisovich 1 2021 Parabolic equations with large parameter. Inverse problems. Zbl 1448.35576Levenshtam, V. B. 2 2020 Recovery of a rapidly oscillating absolute term in the multidimensional hyperbolic equation. Zbl 07035826Babich, P. V.; Levenshtam, V. B. 3 2018 Recovery of a rapidly oscillating source in the heat equation from solution asymptotics. Zbl 06864318Babich, P. V.; Levenshtam, V. B.; Prika, S. P. 4 2017 Direct and inverse asymptotic problems with high-frequency terms. Zbl 1342.35387Babich, P. V.; Levenshtam, V. B. 5 2016 Justification of the averaging method for a system of equations with the Navier-Stokes operator in the principal part. Zbl 1318.35066Levenshtam, V. B. 2 2015 Asymptotic integration of linear system with high-frequency coefficients and Stokes operator in the main part. Zbl 1318.35081Levenshtam, V. B.; Ishmeev, M. R. 2 2015 High-frequency asymptotics of a solution to a linear system with the Stokes operator in the principal part. Zbl 1331.35091Ishmeev, M. R.; Levenshtam, V. B. 2 2015 Asymptotic integration of linear parabolic problems with high-frequency coefficients in the critical case. Zbl 1422.35104Levenshtam, V. B. 3 2014 Linear parabolic problem: high-frequency asymptotics in the critical case. Zbl 1299.35146Gusachenko, V. V.; Il’icheva, E. A.; Levenshtam, V. B. 6 2013 Asymptotic integration of a system of differential equations with high-frequency terms in the critical case. Zbl 1258.34123Do, N. T.; Levenshtam, V. B. 5 2012 Asymptotic analysis of linear differential equations with a large parameter: the resonance case. Zbl 1251.34075Levenshtam, V. B. 1 2012 Asymptotic integration of a system of differential equations with a large parameter in the critical case. Zbl 1249.34123Do Ngoc Thanh; Levenshtam, V. B. 7 2011 Asymptotics of a solution to a second order linear differential equation with large summands. Zbl 1228.34025Krutenko, E. V.; Levenshtam, V. B. 2 2010 On correlation of two solution classes of Navier-Stokes equation. Zbl 1221.35281Levenshtam, V. B. 2 2010 Kantorovich theorem and justification of asymptotics of solutions of differential equations with large high-frequency summands. Zbl 1228.34062Levenshtam, V. B. 2 2009 Asymptotic expansions of periodic solutions of ordinary differential equations with large high-frequency terms. Zbl 1159.34035Levenshtam, V. B. 2 2008 Justification of the averaging method for parabolic equations containing rapidly oscillating terms with large amplitudes. Zbl 1105.35137Levenshtam, V. B. 5 2006 Extension of the averaging theory to differential equations with large-amplitude rapidly oscillating terms. The problem of periodic solutions. Zbl 1180.34042Levenshtam, V. B.; Khatlamadzhiyan, G. L. 2 2006 Asymptotic integration of parabolic problems with large high-frequency summands. Zbl 1114.35011Levenshtam, V. B. 6 2005 Asymptotic integration of differential equations with rapidly oscillating terms of large amplitude. II. Zbl 1190.34058Levenshtam, V. B. 5 2005 Asymptotic integration of differential equations with oscillatory terms of large amplitudes. I. Zbl 1109.34004Levenshtam, V. B. 4 2005 Asymptotic integration of differential equations with large high-frequency terms. Zbl 1133.34344Levenshtam, V. B. 2 2005 The asymptotics of solutions of ordinary differential equations with large high frequency terms. Zbl 1072.34009Basistaya, D. A.; Levenshtam, V. B. 3 2004 Construction of higher approximations of the averaging method for parabolic initial-boundary value problems using the boundary layer method. Zbl 1131.35344Levenshtam, V. B. 2 2004 Unique solvability of parabolic equations with almost periodic coefficients in Hölder spaces. Zbl 1063.35067Levenshtam, V. B. 2 2003 Asymptotic integration of the Navier-Stokes system with a rapidly oscillating mass force. Zbl 1002.35096Levenshtam, V. B. 2 2001 Asymptotic expansion of the solution to the problem of vibrational convection. Zbl 0997.76072Levenshtam, V. B. 6 2000 Method of averaging for quasilinear parabolic equations with fast oscillating coefficients. Zbl 1042.35020Levenshtam, V. B. 1 2000 The averaging principle in the case of the Cauchy problem for quasilinear parabolic equations with variable principal part. Zbl 0953.35054Levenshtam, V. B. 1 2000 Asymptotic integration of a vibrational convection problem. Zbl 0974.76079Levenshtam, V. B. 2 1998 The averaging method in the convection problem with high-frequency oblique vibrations. Zbl 0874.35094Levenshtam, V. B. 5 1996 Justification of the averaging method for the problem of thermal vibrational convection. Zbl 0923.76303Levenshtam, V. B. 1 1996 Justification of the averaging method for the convection problem with high-frequency vibrations. Zbl 0834.35012Levenshtam, V. B. 5 1993 Averaging of quasilinear parabolic equations with rapidly oscillating principal part. Exponential dichotomy. Zbl 0795.35041Levenshtam, V. B. 3 1992 Exponential dichotomy and the averaging method for parabolic equations with a rapidly oscillating principal part. Zbl 0782.35034Levenshtam, V. B. 2 1991 Asymptotic integration of a problem of convection. Zbl 0712.76083Levenshtam, V. B. 2 1989 The boundary layer method and an effective construction of higher approximations by the averaging method. Zbl 0389.35025Levenstam, V. B. 2 1978 all cited Publications top 5 cited Publications all top 5 Cited by 28 Authors 25 Levenshtam, Valeriĭ Borisovich 5 Babich, Pavel Vasil’evich 3 Ishmeev, Marat Rashidovich 2 Gusachenko, V. V. 2 Kashchenko, Sergeĭ Aleksandrovich 2 Sazonov, Leonid Ivanovich 1 Abood, H. D. 1 Grin, Alexander A. 1 Gritsenko, Svetlana Aleksandrovna 1 Grushkovskaya, Victoria V. 1 Guseva, E. Yu. 1 Il’icheva, E. A. 1 Il’in, Konstantin Ivanovich 1 Ivleva, Natal’ya Ivleva 1 Khatlamadzhiyan, G. L. 1 Khatskevich, Vladimir L. 1 Korablina, Ella Viktorovna 1 Krutenko, E. V. 1 Kurbatov, Vitaliĭ Gennad’evich 1 Loginov, D. O. 1 Meirmanov, Anvarbek Mukatovich 1 Morgulis, Andrey Borisovich 1 Novosiadliy, Vasiliy A. 1 Polekhin, Ivan Yu. 1 Prika, S. P. 1 Schneider, Klaus R. 1 Shubin, P. E. 1 Zenkovskaya, Svetlana M. all top 5 Cited in 22 Serials 10 Mathematical Notes 5 Siberian Mathematical Journal 5 Journal of Mathematical Sciences (New York) 2 Computational Mathematics and Mathematical Physics 2 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 Applicable Analysis 1 Journal of Engineering Mathematics 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Studies in Applied Mathematics 1 Transactions of the Moscow Mathematical Society 1 Asymptotic Analysis 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Russian Journal of Mathematical Physics 1 St. Petersburg Mathematical Journal 1 Izvestiya: Mathematics 1 Regular and Chaotic Dynamics 1 Differential Equations 1 Multiscale Modeling & Simulation 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Complex Analysis and Operator Theory 1 Eurasian Mathematical Journal 1 Annales Mathématiques du Québec all top 5 Cited in 13 Fields 29 Partial differential equations (35-XX) 15 Ordinary differential equations (34-XX) 7 Fluid mechanics (76-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Numerical analysis (65-XX) 2 Mechanics of deformable solids (74-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Mechanics of particles and systems (70-XX) Citations by Year