Classical solution of the first mixed problem for the Klein-Gordon-Fock equation in a half-strip

被引：9

作者：

Korzyuk, V. I. ^{[1
]}

Stolyarchuk, I. I. ^{[1
]}

机构：

[1] Belarusian State Univ, Minsk, BELARUS

来源：

DIFFERENTIAL EQUATIONS | 2014年 / 50卷 / 08期

关键词：

Classical Solution; Matching Condition; Hyperbolic Equation; Homogeneous Equation; Matching Point;

D O I：

10.1134/S0012266114080084

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a classical solution of the first boundary value problem for the Klein-Gordon-Fock equation in a half-strip in the one-dimensional case. We prove the existence and uniqueness of the classical solution under certain smoothness conditions and matching conditions for the given functions. To solve the problem, one should solve Volterra integral equations of the second kind.

引用

页码：1098 / 1111

页数：14

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