Budylin Alexander Mikhajlovich

Publications in Math-Net.Ru

1. Interaction of $N$ charged particles in the frame of the modified $\mathrm{ВВК}$ approximation: $(N-1)$-particle cluster and a distant particle
   
   Algebra i Analiz, 36:6 (2024),  1–15
2. Asymptotics of the solution of the Dirichlet problem for the Laplace equation in a strip with thin branches
   
   Mat. Zametki, 116:3 (2024),  355–371
3. Solution of the Quantum Three-Body Problem in a Neighborhood of Three-Particle Forward Scattering Direction
   
   Mat. Zametki, 113:3 (2023),  332–346
4. On the main term of the asymptotics of the problem of few charged particles in the presence of bound states
   
   Zap. Nauchn. Sem. POMI, 521 (2023),  59–78
5. Singular matrix factorization problem with quadratically oscillating off-diagonal elements. Quasiclassical asymptotics of solutions with a diagonal element vanishing at the stationary point
   
   Algebra i Analiz, 32:5 (2020),  37–61
6. The scattering problem of three one-dimensional quantum particles. The case of pair Coulomb potentials of repulsion at large distances
   
   Zap. Nauchn. Sem. POMI, 493 (2020),  88–101
7. The scattering problem of three one-dimensional short-range quantum particles involving bound states in pair subsystems. The coordinate asymptotics of the resolvent kernel and absolutely continuous spectrum eigenfunctions
   
   Zap. Nauchn. Sem. POMI, 483 (2019),  5–18
8. The absolutely continuous spectrum eigenfunctions asymptotics of the three one-dimensional quantum particles scattering problem
   
   Zap. Nauchn. Sem. POMI, 471 (2018),  15–37
9. Some aspects of the scattering problem for the system of three charged particles
   
   Zap. Nauchn. Sem. POMI, 461 (2017),  65–94
10. Few one-dimensional quantum particles scattering problem. The structure and asymptotics of the resolvent kernel limit values
    
    Zap. Nauchn. Sem. POMI, 461 (2017),  14–51
11. Convolution equations on expanding interval with symbols having zeros or poles of nonintegral power
    
    Zap. Nauchn. Sem. POMI, 451 (2016),  29–42
12. To the question of Schröedinger operator kernel resolvent asymptotics construction in the three one-dimensional quantum particles scattering problem interacting by finite repulsive pair potentials
    
    Zap. Nauchn. Sem. POMI, 438 (2015),  95–103
13. The equation of convolution on a large finite interval with the symbol which has zeros of nonintegral powers
    
    Zap. Nauchn. Sem. POMI, 438 (2015),  83–94
14. Quasi-Classical Asymptotics of Solutions to the Matrix Factorization Problem with Quadratically Oscillating Off-Diagonal Elements
    
    Funktsional. Anal. i Prilozhen., 48:1 (2014),  1–18
15. Semiclassical asymptotics of the solutions of matrix Riemann–Hilbert problems with fast oscillation of non-diagonal elements
    
    Algebra i Analiz, 25:2 (2013),  75–100
16. On the mathematical work of Vladimir Savel'evich Buslaev
    
    Algebra i Analiz, 25:2 (2013),  3–36
17. The Gel'fand–Levitan–Marchenko equation and the asymptotic behavior of solutions of the nonlinear Schrödinger equation for large time values
    
    Algebra i Analiz, 12:5 (2000),  64–105
18. Quasiclassical integral equations and the asymptotic behavior of solutions of the Korteweg–de Vries equation for large time values
    
    Dokl. Akad. Nauk, 348:4 (1996),  455–458
19. Quasiclassical asymptotics of the resolvent of an integral convolution operator with a sine kernel on a finite interval
    
    Algebra i Analiz, 7:6 (1995),  79–103
20. Quasiclassical integral equations with slowly decreasing kernels on bounded domains
    
    Algebra i Analiz, 5:1 (1993),  160–178
21. Quasiclassical integral equations
    
    Dokl. Akad. Nauk SSSR, 319:3 (1991),  527–530
22. Asymptotic behavior of spectral characteristics of an integral operator with difference kernel on expanding domains
    
    Dokl. Akad. Nauk SSSR, 287:3 (1986),  529–532