Zobrazeno 1 - 10
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pro vyhledávání: '"V. V. Kornev"'
Autor:
V. V. Kornev, A. P. Khromov
Publikováno v:
Journal of Mathematical Sciences. 267:787-802
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
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
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
Autor:
A. P. Khromov, V. V. Kornev
Publikováno v:
Izvestiya of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics. 16:403-413
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
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
Autor:
V. V. Kornev, Avgust Petrovich Khromov
Publikováno v:
Doklady Mathematics. 78:733-736
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.
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