Edit Profile (opens in new tab) Budylin, A. M. Compute Distance To: Compute Author ID: budylin.a-m Published as: Budylin, A. M. Documents Indexed: 23 Publications since 1986 Co-Authors: 10 Co-Authors with 20 Joint Publications 202 Co-Co-Authors all top 5 Co-Authors 2 single-authored 12 Buslaev, Vladimir Savel’evich 8 Levin, S. B. 3 Baibulov, I. V. 1 Babich, Vasiliĭ Mikhaĭlovich 1 Dmitrieva, L. A. 1 Komech, Alexander Ilich 1 Koptelov, Ya. Yu. 1 Perel, Maria V. 1 Rybakina, E. A. 1 Sukhanov, Vladimir V. all top 5 Serials 7 Journal of Mathematical Sciences (New York) 6 St. Petersburg Mathematical Journal 2 Soviet Mathematics. Doklady 1 Mathematical Notes 1 Functional Analysis and its Applications 1 Doklady Mathematics all top 5 Fields 13 Partial differential equations (35-XX) 8 Integral equations (45-XX) 8 Operator theory (47-XX) 6 Quantum theory (81-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Mechanics of particles and systems (70-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Ordinary differential equations (34-XX) 1 Integral transforms, operational calculus (44-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 15 Publications have been cited 45 times in 23 Documents Cited by ▼ Year ▼ Semiclassical asymptotics of the resolvent of the integral convolution operator with sine-kernel on a finite interval. Zbl 0862.35148Budylin, A. M.; Buslaev, V. S. 15 1995 Reflection operators and their applications to asymptotic investigations of semiclassical integral equations. Zbl 0743.45003Budylin, A. M.; Buslaev, V. S. 7 1991 Quasiclassical integral equations and the asymptotic behavior of solutions to the Korteweg-de Vries equation for large times. Zbl 0956.35114Budylin, A. M.; Buslaev, V. S. 4 1996 Semiclassical integral equations with slowly decreasing kernels on finite domains. Zbl 0794.45001Budylin, A. M.; Buslaev, V. S. 4 1993 Quasiclassical integral equations. Zbl 0769.45009Budylin, A. M.; Buslaev, V. S. 2 1991 The Gelfand-Levitan-Marchenko equation and the long-time asymptotics of the solutions of the nonlinear Schrödinger equation. Zbl 0966.35121Budylin, A. M.; Buslaev, V. S. 2 2000 Quasi-classical asymptotics of solutions to the matrix factorization problem with quadratically oscillating off-diagonal elements. Zbl 1307.35179Budylin, A. M.; Buslaev, V. S. 2 2014 On justification of the asymptotics of eigenfunctions of the absolutely continuous spectrum in the problem of three one-dimensional short-range quantum particles with repulsion. Zbl 1419.81009Baibulov, I. V.; Budylin, A. M.; Levin, S. B. 2 2019 The asymptotics of eigenfunctions of the absolutely continuous spectrum. The scattering problem of three one-dimensional quantum particles. Zbl 1435.81230Baibulov, I. V.; Budylin, A. M.; Levin, S. B. 1 2019 On the asymptotic behavior of spectral characteristics of an integral operator with difference kernel on expanding regions. Zbl 0635.47006Budylin, A. M.; Buslaev, V. S. 1 1986 Semiclassical pseudodifferential operators with double discontinuous symbols and their application to problems of quantum statistical physics. Zbl 1136.35466Budylin, A. M.; Buslaev, V. S. 1 2001 The Gel’fand-Levitan-Marchenko equation, and the long-time asymptotics of solutions of the nonlinear Schrödinger equation. Zbl 0998.35050Budylin, A. M.; Buslaev, V. S. 1 2001 Semiclassical pseudodifferential operators with discontinuous symbols and their applications to the problems of statistical physics. Zbl 1142.35109Budylin, A. M.; Buslaev, V. S. 1 2007 Semiclassical integral equations on the semiaxis. Zbl 0869.45003Budylin, A. M.; Buslaev, V. S. 1 1996 Some aspects of the scattering problem for a system of three charged particles. Zbl 1419.81038Budylin, A. M.; Koptelov, Ya. Yu.; Levin, S. B. 1 2019 On justification of the asymptotics of eigenfunctions of the absolutely continuous spectrum in the problem of three one-dimensional short-range quantum particles with repulsion. Zbl 1419.81009Baibulov, I. V.; Budylin, A. M.; Levin, S. B. 2 2019 The asymptotics of eigenfunctions of the absolutely continuous spectrum. The scattering problem of three one-dimensional quantum particles. Zbl 1435.81230Baibulov, I. V.; Budylin, A. M.; Levin, S. B. 1 2019 Some aspects of the scattering problem for a system of three charged particles. Zbl 1419.81038Budylin, A. M.; Koptelov, Ya. Yu.; Levin, S. B. 1 2019 Quasi-classical asymptotics of solutions to the matrix factorization problem with quadratically oscillating off-diagonal elements. Zbl 1307.35179Budylin, A. M.; Buslaev, V. S. 2 2014 Semiclassical pseudodifferential operators with discontinuous symbols and their applications to the problems of statistical physics. Zbl 1142.35109Budylin, A. M.; Buslaev, V. S. 1 2007 Semiclassical pseudodifferential operators with double discontinuous symbols and their application to problems of quantum statistical physics. Zbl 1136.35466Budylin, A. M.; Buslaev, V. S. 1 2001 The Gel’fand-Levitan-Marchenko equation, and the long-time asymptotics of solutions of the nonlinear Schrödinger equation. Zbl 0998.35050Budylin, A. M.; Buslaev, V. S. 1 2001 The Gelfand-Levitan-Marchenko equation and the long-time asymptotics of the solutions of the nonlinear Schrödinger equation. Zbl 0966.35121Budylin, A. M.; Buslaev, V. S. 2 2000 Quasiclassical integral equations and the asymptotic behavior of solutions to the Korteweg-de Vries equation for large times. Zbl 0956.35114Budylin, A. M.; Buslaev, V. S. 4 1996 Semiclassical integral equations on the semiaxis. Zbl 0869.45003Budylin, A. M.; Buslaev, V. S. 1 1996 Semiclassical asymptotics of the resolvent of the integral convolution operator with sine-kernel on a finite interval. Zbl 0862.35148Budylin, A. M.; Buslaev, V. S. 15 1995 Semiclassical integral equations with slowly decreasing kernels on finite domains. Zbl 0794.45001Budylin, A. M.; Buslaev, V. S. 4 1993 Reflection operators and their applications to asymptotic investigations of semiclassical integral equations. Zbl 0743.45003Budylin, A. M.; Buslaev, V. S. 7 1991 Quasiclassical integral equations. Zbl 0769.45009Budylin, A. M.; Buslaev, V. S. 2 1991 On the asymptotic behavior of spectral characteristics of an integral operator with difference kernel on expanding regions. Zbl 0635.47006Budylin, A. M.; Buslaev, V. S. 1 1986 all cited Publications top 5 cited Publications all top 5 Cited by 31 Authors 10 Budylin, A. M. 7 Levin, S. B. 6 Its, Alexander Rudolfovich 5 Bothner, Thomas 3 Baibulov, I. V. 3 Deift, Percy A. 3 Krasovsky, Igor V. 2 Teschl, Gerald 1 Babich, Vasiliĭ Mikhaĭlovich 1 Buckingham, Robert J. 1 Buslaev, Vladimir Savel’evich 1 Charlier, Christophe 1 Dai, Dan 1 Dmitrieva, L. A. 1 Grunert, Katrin 1 Kitanine, N. A. 1 Komech, Alexander Ilich 1 Kozlowski, Karol Kajetan 1 Lenells, Jonatan 1 Lisovyy, Oleg 1 Maillet, Jean-Michel 1 Mikikits-Leitner, Alice 1 Perel, Maria V. 1 Prokhorov, Andrei 1 Rybakina, E. A. 1 Slavnov, Nikita A. 1 Sukhanov, Vladimir V. 1 Terras, Véronique 1 Xu, Shuaixia 1 Zhang, Lun 1 Zhou, Xin all top 5 Cited in 12 Serials 6 Journal of Mathematical Sciences (New York) 4 Communications in Mathematical Physics 4 St. Petersburg Mathematical Journal 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Physics 1 Mathematical Notes 1 Advances in Mathematics 1 Duke Mathematical Journal 1 Functional Analysis and its Applications 1 Journal of Approximation Theory 1 Journal of Computational and Applied Mathematics 1 Mathematical Physics, Analysis and Geometry all top 5 Cited in 16 Fields 9 Partial differential equations (35-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Operator theory (47-XX) 6 Quantum theory (81-XX) 5 Ordinary differential equations (34-XX) 5 Probability theory and stochastic processes (60-XX) 4 Integral equations (45-XX) 3 Special functions (33-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mechanics of particles and systems (70-XX) Citations by Year