Keldysh type problem for B-hyperbolic equation with integral boundary value condition of the first kind

被引：10

作者：

Zaitseva N.V. ^{[1
]}

机构：

[1] Kazan (Volga Region) Federal University, Kremlevskaya ul. 35, Kazan

来源：

Lobachevskii Journal of Mathematics | 2017年 / 38卷 / 1期

关键词：

Bessel differential operator; Fourier–Bessel series; Hyperbolic equation; non-local boundary value condition;

D O I：

10.1134/S199508021701022X

中图分类号：

学科分类号：

摘要：

We consider a boundary value problem for a hyperbolic equation in a rectangular domain with non-complete boundary data and integral boundary value conditions of the first kind. The existence and uniqueness of solution of the problem are established bymeans of the spectralmethod. The solution is obtained in the form of the Fourier–Bessel series. Its convergence is proved in the class of regular solutions. © 2017, Pleiades Publishing, Ltd.

引用

页码：162 / 169

页数：7

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