Zobrazeno 1 - 10
of 27
pro vyhledávání: '"V. V. Kornev"'
Autor:
V. V. Kornev, A. P. Khromov
Publikováno v:
Journal of Mathematical Sciences. 267:787-802
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ed4173b2bd2fb050edf6b921fa104186
https://doi.org/10.1007/s10958-022-06170-7
https://doi.org/10.1007/s10958-022-06170-7
Autor:
V. V. Kornev, A. P. Khromov
Publikováno v:
Доклады Академии наук. 484:18-20
This study follows A.N. Krylov’s recommendations on accelerating the convergence of the Fourier series, to obtain explicit expressions of the classical mixed problem–solution for a non-homogeneous equation and explicit expressions of the generali
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::20c5badcfa127358db94876ff9cc71b9
https://doi.org/10.31857/s0869-5652484118-20
https://doi.org/10.31857/s0869-5652484118-20
Autor:
V. V. Kornev, A. P. Khromov
Publikováno v:
Doklady Mathematics. 99:11-13
A.N. Krylov’s ideas concerning convergence acceleration for Fourier series are used to obtain explicit expressions for the classical solution of a mixed problem for a nonhomogeneous equation and explicit expressions for a generalized solution in th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cf3b804e06c58135c5402740f600cb33
https://doi.org/10.1134/s1064562419010034
https://doi.org/10.1134/s1064562419010034
Autor:
Avgust Petrovich Khromov, V. V. Kornev
Publikováno v:
Computational Mathematics and Mathematical Physics. 57:1666-1681
A mixed problem for an inhomogeneous wave equation with fixed ends in the case of a summable potential is studied. Using the Krylov method for acceleration of the convergence of Fourier series, a classical solution under minimal conditions on the ini
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cd45542c3b7534fbc773ae64e68b959e
https://doi.org/10.1134/s0965542517100104
https://doi.org/10.1134/s0965542517100104
Autor:
A. P. Khromov, V. V. Kornev
Publikováno v:
Izvestiya of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics. 16:403-413
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::288edb3001cf53d6daabbc603b8668bd
https://doi.org/10.18500/1816-9791-2016-16-4-403-413
https://doi.org/10.18500/1816-9791-2016-16-4-403-413
Autor:
V. V. Kornev, Avgust Petrovich Khromov
Publikováno v:
Doklady Mathematics. 93:313-315
The resolvent approach to the Fourier method is used to examine the behavior of the formal solution to the mixed problem for an inhomogeneous wave equation with a summable potential. A classical solution is obtained under minimum conditions imposed o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::873839d028e5e7de82c591cc4ba949e4
https://doi.org/10.1134/s1064562416030200
https://doi.org/10.1134/s1064562416030200
Autor:
V. V. Kornev, A. P. Khromov
Publikováno v:
Izvestiya of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics. 13:28-35
Saratov State University, Russia, 410012, Saratov, Astrahanskaya st., 83, KornevVV@info.sgu.ru, KhromovAP@info.sgu.ruTheobjectofthepaperisDiracsystemwithantiperiodicboundaryconditionsandcomplex-valuedconditionspotential.Anewmethodis suggested for inv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d968822b8e01e5edf6e6c51696b63d38
https://doi.org/10.18500/1816-9791-2013-13-3-28-35
https://doi.org/10.18500/1816-9791-2013-13-3-28-35
Autor:
V. V. Kornev, Avgust Petrovich Khromov
Publikováno v:
Doklady Mathematics. 78:733-736
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::48fac4680ba4eab49890d025526afedb
https://doi.org/10.1134/s1064562408050244
https://doi.org/10.1134/s1064562408050244
Autor:
V. V. Kornev, A. P. Khromov
Publikováno v:
Journal of Mathematical Sciences. 144:3804-3814
In this paper, for expansions in eigenfunctions and associated functions, an analog of the known A. Zygmund theorem on the absolute convergence of trigonometric Fourier series is proved.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e812b4e0f073a670a6802ae2f8681c17
https://doi.org/10.1007/s10958-007-0233-z
https://doi.org/10.1007/s10958-007-0233-z
Autor:
V. V. Kornev
Publikováno v:
Mathematical Notes. 81:638-648
An analog of Szasz’s theorem on the absolute convergence of trigonometric Fourier series is established for expansions in the eigen and associated functions of integral operators some of whose kernels involve derivatives with discontinuities on the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::74e443d5e75e7f20afdf550568cb8470
https://doi.org/10.1134/s0001434607050094
https://doi.org/10.1134/s0001434607050094