## Budylin, A. M.

Compute Distance To:
 Author ID: budylin.a-m Published as: Budylin, A. M.
 Documents Indexed: 22 Publications since 1986 Co-Authors: 10 Co-Authors with 19 Joint Publications 202 Co-Co-Authors
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### Co-Authors

 2 single-authored 12 Buslaev, Vladimir Savel’evich 7 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.

### Serials

 7 Journal of Mathematical Sciences (New York) 6 St. Petersburg Mathematical Journal 2 Soviet Mathematics. Doklady 1 Functional Analysis and its Applications 1 Doklady Mathematics
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### Fields

 12 Partial differential equations (35-XX) 8 Integral equations (45-XX) 8 Operator theory (47-XX) 5 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 History and biography (01-XX) 1 Ordinary differential equations (34-XX) 1 Integral transforms, operational calculus (44-XX)

### Citations contained in zbMATH Open

15 Publications have been cited 42 times in 21 Documents Cited by Year
Semiclassical asymptotics of the resolvent of the integral convolution operator with sine-kernel on a finite interval. Zbl 0862.35148
Budylin, A. M.; Buslaev, V. S.
1995
Reflection operators and their applications to asymptotic investigations of semiclassical integral equations. Zbl 0743.45003
Budylin, A. M.; Buslaev, V. S.
1991
Quasiclassical integral equations and the asymptotic behavior of solutions to the Korteweg-de Vries equation for large times. Zbl 0956.35114
Budylin, A. M.; Buslaev, V. S.
1996
Semiclassical integral equations with slowly decreasing kernels on finite domains. Zbl 0794.45001
Budylin, A. M.; Buslaev, V. S.
1993
Quasiclassical integral equations. Zbl 0769.45009
Budylin, A. M.; Buslaev, V. S.
1991
The Gelfand-Levitan-Marchenko equation and the long-time asymptotics of the solutions of the nonlinear Schrödinger equation. Zbl 0966.35121
Budylin, A. M.; Buslaev, V. S.
2000
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 1419.81009
Baibulov, I. V.; Budylin, A. M.; Levin, S. B.
2019
Quasi-classical asymptotics of solutions to the matrix factorization problem with quadratically oscillating off-diagonal elements. Zbl 1307.35179
Budylin, A. M.; Buslaev, V. S.
2014
On the asymptotic behavior of spectral characteristics of an integral operator with difference kernel on expanding regions. Zbl 0635.47006
Budylin, A. M.; Buslaev, V. S.
1986
Semiclassical integral equations on the semiaxis. Zbl 0869.45003
Budylin, A. M.; Buslaev, V. S.
1996
Semiclassical pseudodifferential operators with double discontinuous symbols and their application to problems of quantum statistical physics. Zbl 1136.35466
Budylin, A. M.; Buslaev, V. S.
2001
The Gel’fand-Levitan-Marchenko equation, and the long-time asymptotics of solutions of the nonlinear Schrödinger equation. Zbl 0998.35050
Budylin, A. M.; Buslaev, V. S.
2001
The asymptotics of eigenfunctions of the absolutely continuous spectrum. The scattering problem of three one-dimensional quantum particles. Zbl 1435.81230
Baibulov, I. V.; Budylin, A. M.; Levin, S. B.
2019
Some aspects of the scattering problem for a system of three charged particles. Zbl 1419.81038
Budylin, A. M.; Koptelov, Ya. Yu.; Levin, S. B.
2019
Semiclassical pseudodifferential operators with discontinuous symbols and their applications to the problems of statistical physics. Zbl 1142.35109
Budylin, A. M.; Buslaev, V. S.
2007
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 1419.81009
Baibulov, I. V.; Budylin, A. M.; Levin, S. B.
2019
The asymptotics of eigenfunctions of the absolutely continuous spectrum. The scattering problem of three one-dimensional quantum particles. Zbl 1435.81230
Baibulov, I. V.; Budylin, A. M.; Levin, S. B.
2019
Some aspects of the scattering problem for a system of three charged particles. Zbl 1419.81038
Budylin, A. M.; Koptelov, Ya. Yu.; Levin, S. B.
2019
Quasi-classical asymptotics of solutions to the matrix factorization problem with quadratically oscillating off-diagonal elements. Zbl 1307.35179
Budylin, A. M.; Buslaev, V. S.
2014
Semiclassical pseudodifferential operators with discontinuous symbols and their applications to the problems of statistical physics. Zbl 1142.35109
Budylin, A. M.; Buslaev, V. S.
2007
Semiclassical pseudodifferential operators with double discontinuous symbols and their application to problems of quantum statistical physics. Zbl 1136.35466
Budylin, A. M.; Buslaev, V. S.
2001
The Gel’fand-Levitan-Marchenko equation, and the long-time asymptotics of solutions of the nonlinear Schrödinger equation. Zbl 0998.35050
Budylin, A. M.; Buslaev, V. S.
2001
The Gelfand-Levitan-Marchenko equation and the long-time asymptotics of the solutions of the nonlinear Schrödinger equation. Zbl 0966.35121
Budylin, A. M.; Buslaev, V. S.
2000
Quasiclassical integral equations and the asymptotic behavior of solutions to the Korteweg-de Vries equation for large times. Zbl 0956.35114
Budylin, A. M.; Buslaev, V. S.
1996
Semiclassical integral equations on the semiaxis. Zbl 0869.45003
Budylin, A. M.; Buslaev, V. S.
1996
Semiclassical asymptotics of the resolvent of the integral convolution operator with sine-kernel on a finite interval. Zbl 0862.35148
Budylin, A. M.; Buslaev, V. S.
1995
Semiclassical integral equations with slowly decreasing kernels on finite domains. Zbl 0794.45001
Budylin, A. M.; Buslaev, V. S.
1993
Reflection operators and their applications to asymptotic investigations of semiclassical integral equations. Zbl 0743.45003
Budylin, A. M.; Buslaev, V. S.
1991
Quasiclassical integral equations. Zbl 0769.45009
Budylin, A. M.; Buslaev, V. S.
1991
On the asymptotic behavior of spectral characteristics of an integral operator with difference kernel on expanding regions. Zbl 0635.47006
Budylin, A. M.; Buslaev, V. S.
1986
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### Cited by 26 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 Dmitrieva, L. A. 1 Grunert, Katrin 1 Kitanine, N. A. 1 Komech, Alexander Ilich 1 Kozlowski, Karol Kajetan 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 Zhou, Xin
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### Cited in 10 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 Duke Mathematical Journal 1 Functional Analysis and its Applications 1 Journal of Computational and Applied Mathematics 1 Mathematical Physics, Analysis and Geometry
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### Cited in 14 Fields

 8 Partial differential equations (35-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Operator theory (47-XX) 6 Quantum theory (81-XX) 4 Ordinary differential equations (34-XX) 4 Integral equations (45-XX) 3 Probability theory and stochastic processes (60-XX) 2 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 Integral transforms, operational calculus (44-XX) 1 Mechanics of particles and systems (70-XX)