Lyalinov Mikhail Anatol'evich

Publications in Math-Net.Ru

1. Scattering of an edge wave by the domain of critical change of the wedge's angle
   
   Algebra i Analiz, 37:6 (2025),  100–147
2. Discrete spectrum and eigenfunctions of the Schrödinger operator on the plane with a singular $\delta$-potential of special form
   
   Zap. Nauchn. Sem. POMI, 541 (2025),  115–130
3. On the connection of solutions of the Malyuzhinets equations and the high-order functional difference equation with meromorphic coefficients in the problem of localized waves propagating along the angular junction of thin elastic membranes
   
   Zap. Nauchn. Sem. POMI, 533 (2024),  140–152
4. On eigenfunctions of the essential spectrum of the model problem for the Schrödinger operator with singular potential
   
   Mat. Sb., 214:10 (2023),  71–97
5. Eigenfunctions of the continuous spectrum in the problem of acoustic oscillations in a wedge-shaped domain bounded by an angular junction of two semi-infinite thin elфstic membranes
   
   Zap. Nauchn. Sem. POMI, 521 (2023),  123–135
6. Schrödinger operator in a half-plane with the Neumann condition on the boundary and a singular $\delta$-potential supported by two half-lines, and systems of functional-difference equations
   
   TMF, 213:2 (2022),  287–319
7. Eigenfunctions of the essential spectrum of the Laplace operator in an angle with the Robin–Neumann boundary conditions
   
   Zap. Nauchn. Sem. POMI, 516 (2022),  121–134
8. Scattering of a surface wave in a polygonal domain with impedance boundary
   
   Algebra i Analiz, 33:2 (2021),  98–135
9. Long-time evolution described by the unitary group of the Mehler operator
   
   Zap. Nauchn. Sem. POMI, 506 (2021),  98–112
10. Eigenfunctions of negative spectrum for the Schrödinger operator in a halfplane having singular potential on a ray and with Neumann boundary condition
    
    Zap. Nauchn. Sem. POMI, 493 (2020),  232–258
11. A comment on eigenvalues and eigenfunctions of Laplace operator in an angle with Robin boundary conditions
    
    Zap. Nauchn. Sem. POMI, 483 (2019),  116–127
12. Green’s function for the Helmholtz equation in a polygonal domain of special form with ideal boundary conditions
    
    Zap. Nauchn. Sem. POMI, 471 (2018),  150–167
13. Functional difference equations in the problem of the forced oscillations of liquid in an infinite pool with conical bottom
    
    Algebra i Analiz, 29:2 (2017),  59–88
14. Wave field near a narrow convex impedance cone completely illuminated by a plane incident wave
    
    Zap. Nauchn. Sem. POMI, 461 (2017),  195–211
15. Scattering of an electromagnetic surface wave from a Hertzian dipole by the edge of an independance wedge
    
    Zap. Nauchn. Sem. POMI, 451 (2016),  116–133
16. Weyl–Van der Poll phenomenon in acoustic diffraction by a wedge or cone with impedance boundary conditions
    
    Zap. Nauchn. Sem. POMI, 438 (2015),  178–202
17. Integral equations and scattering diagram in the problem of diffraction by two wedges shifted along the line of contact with polygonal boundary
    
    Zap. Nauchn. Sem. POMI, 426 (2014),  119–139
18. Diffraction of a plane acoustic wave by an impedance cone. Surface waves
    
    Zap. Nauchn. Sem. POMI, 369 (2009),  95–109
19. Diffraction of an $H$-polarized surface wave by an abgular break of a thin dielectric slab
    
    Zap. Nauchn. Sem. POMI, 354 (2008),  100–111
20. Scattering of waves by a diffraction grating with a local default of its periodic structure
    
    Zap. Nauchn. Sem. POMI, 342 (2007),  164–186
21. On an integral equation in the problem of the plane wave diffraction by a circular transparent cone
    
    Zap. Nauchn. Sem. POMI, 308 (2004),  101–123
22. On diffraction of a plane wave by an impedance cone
    
    Zap. Nauchn. Sem. POMI, 297 (2003),  191–215
23. The diffraction of a plane wave by a grating consisting of thin chiral slabs
    
    Zap. Nauchn. Sem. POMI, 285 (2002),  135–149
24. Diffraction of an electromagnetic plane wave obliquely incident on the edge of an impedance wedge: uniqueness of the classical solution
    
    Zap. Nauchn. Sem. POMI, 264 (2000),  189–196
25. On scattering of waves by a slowly expanding contour
    
    Zap. Nauchn. Sem. POMI, 257 (1999),  149–156
26. On the scattering of waves by an expanding surface
    
    Zap. Nauchn. Sem. POMI, 250 (1998),  35–48
27. Wave-field asymptotics in the problem of diffraction by a planar junction of thin layers and boundary-contact conditions
    
    Zap. Nauchn. Sem. POMI, 230 (1995),  157–171
28. Method of perturbations in vector electromagnetic problems of diffraction by a wedge
    
    Zap. Nauchn. Sem. POMI, 230 (1995),  138–156
29. Diffraction of a plane electromagnetic wave by a wedge with dielectric coating under oblique incidence on the edge
    
    Zap. Nauchn. Sem. POMI, 218 (1994),  72–95
30. Diffraction of wave by cylindrical surface with discontinuous impedance
    
    Zap. Nauchn. Sem. POMI, 210 (1994),  164–174
31. Asymptotic theory of reflection of electromagnetic radiation by moderately and well conducting bodies
    
    Zap. Nauchn. Sem. POMI, 203 (1992),  68–82
32. Fock's asymptotics in the problem of diffraction by moving smooth contour
    
    Zap. Nauchn. Sem. LOMI, 195 (1991),  69–81
33. Uniform and local asymptotics of wave field in the diffraction problem of short waves on smooth convex contour in penumbra
    
    Zap. Nauchn. Sem. LOMI, 148 (1985),  34–41


34. Vasilii Mikhailovich Babich (on his ninetieth birthday)
    
    Uspekhi Mat. Nauk, 76:1(457) (2021),  201–202