Initial-Boundary Value Problem for Hyperbolic Equation with Singular Coefficient and Integral Condition of Second Kind
- 作者: Sabitov K.1, Zaitseva N.2
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隶属关系:
- Sterlitamak Branch of the Bashkir State University
- N. I. Lobachevskii Institute of Mathematics and Mechanics
- 期: 卷 39, 编号 9 (2018)
- 页面: 1419-1427
- 栏目: Part 2. Special issue “Actual Problems of Algebra and Analysis” Editors: A. M. Elizarov and E. K. Lipachev
- URL: https://journals.rcsi.science/1995-0802/article/view/203505
- DOI: https://doi.org/10.1134/S1995080218090299
- ID: 203505
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详细
We research an initial-boundary value problem with integral condition of the second kind in a rectangular domain for a hyperbolic equation with singular coefficient. The solution is obtained in the form of the Fourier–Bessel series. There are proved theorems on uniqueness, existence and stability of the solution. In order to prove the existence of solution of the non-local problem we obtain sufficient conditions for the convergence of the series in terms of the initial values.
作者简介
K. Sabitov
Sterlitamak Branch of the Bashkir State University
编辑信件的主要联系方式.
Email: sabitov_fmf@mail.ru
俄罗斯联邦, pr. Lenina 49, Sterlitamak, Bashkortostan, 453103
N. Zaitseva
N. I. Lobachevskii Institute of Mathematics and Mechanics
Email: sabitov_fmf@mail.ru
俄罗斯联邦, ul. Kremlevskaya 18, Kazan, Tatarstan, 420008