Zobrazeno 1 - 10
of 30
pro vyhledávání: '"N. Yu. Kapustin"'
Autor:
N. Yu. Kapustin
Publikováno v:
Differential Equations. 58:1563-1565
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2da1db2d4a5f3ab06f9d531e32e4ba4c
https://doi.org/10.1134/s0012266122011012x
https://doi.org/10.1134/s0012266122011012x
Publikováno v:
Differential Equations. 57:1736-1739
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9cf3c7c192860ecb5bc59bd3d8d67ae2
https://doi.org/10.1134/s001226612112017x
https://doi.org/10.1134/s001226612112017x
Autor:
N. Yu. Kapustin
Publikováno v:
Differential Equations. 57:1115-1118
We study the Sturm–Liouville problem with the square of the spectral parameter in one boundary condition, the other boundary condition being homogeneous. In the presence of a multiple eigenvalue, we establish the basis property of the system of eig
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c237cb2dc0aee43d35dcd931df4ccce6
https://doi.org/10.1134/s0012266121080140
https://doi.org/10.1134/s0012266121080140
Publikováno v:
Integral Transforms and Special Functions. 31:1020-1024
We consider a problem for the zero-order Bessel equation with complex-valued physical and spectral parameters in the boundary condition. The spectral parameter is squared in the boundary condition....
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::744a144120b024c0caa2e5e84a67a974
https://doi.org/10.1080/10652469.2020.1788551
https://doi.org/10.1080/10652469.2020.1788551
Autor:
N. Yu. Kapustin
Publikováno v:
Computational Mathematics and Modeling. 30:321-325
We consider a problem that describes the biorthogonal adjoint system for the classical system of root functions for a loaded string with one free end in the presence of a multiple eigenvalue. We show that the complete and minimal subsystems isolated
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1fa4046c3581d4033f594cde1a923f99
https://doi.org/10.1007/s10598-019-09458-7
https://doi.org/10.1007/s10598-019-09458-7
Autor:
N. Yu. Kapustin
Publikováno v:
Differential Equations. 55:145-148
We consider the inhomogeneous Tricomi-Neumann problem for a parabolic-hyperbolic equation with noncharacteristic type change line and degenerate hyperbolic part. The auxiliary function method is used to obtain an a priori estimate for the solution. T
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1627bea66090b60cf3a4696e215c31da
https://doi.org/10.1134/s0012266119010166
https://doi.org/10.1134/s0012266119010166
Autor:
N. Yu. Kapustin
Publikováno v:
Differential Equations. 54:1399-1402
The problem of describing the biorthogonal system of a classical system of root functions is considered for a loaded string problem with a multiple eigenvalue. The basis property of selected complete and minimal subsystems of the system of root funct
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::25cda808a71523cf9f7247f3d57959a1
https://doi.org/10.1134/s0012266118100117
https://doi.org/10.1134/s0012266118100117
Autor:
N. Yu. Kapustin
Publikováno v:
Differential Equations. 53:1340-1345
We consider an inhomogeneous Tricomi problem for a parabolic-hyperbolic equation with noncharacteristic type change line and with Frankl type matching condition for the normal derivatives on the type change line. The auxiliary function method is used
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7f5e2c221d031c682d12c4b6a209c897
https://doi.org/10.1134/s001226611710010x
https://doi.org/10.1134/s001226611710010x
Autor:
N. Yu. Kapustin, T. E. Moiseev
Publikováno v:
Differential Equations. 52:1374-1378
A problem for the Bessel equation of zero order with complex physical and spectral parameters in the boundary condition is considered. We study whether the system of eigenfunctions has the basis property.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::76668320eec0886947cf2e1eee8e4e41
https://doi.org/10.1134/s0012266116100141
https://doi.org/10.1134/s0012266116100141
Autor:
N. Yu. Kapustin
Publikováno v:
Differential Equations. 52:1088-1092
We consider a mixed problem for a fourth-order equation and the corresponding spectral problem, which describes the system biorthogonal to the classical system of root functions for the loaded string problem.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f9befa4480f21662bb85d6178d7074f8
https://doi.org/10.1134/s0012266116080152
https://doi.org/10.1134/s0012266116080152