On the non-local boundary value problem of a third order hyperbolic equation

被引：1

作者：

Zikirov, O. S. ^{[1
]}

机构：

[1] Natl Univ Uzbekistan, Dept Mech & Math, Tashkent 100174, Uzbekistan

来源：

INTERNATIONAL JOURNAL OF DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS | 2008年 / 1卷 / 03期

关键词：

boundary value problem; Goursat problem; Riemann's function; non-local conditions; pseudo-parabolic equation; third order hyperbolic equation; Volterra integral equation;

D O I：

10.1504/IJDSDE.2008.019682

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a non-local boundary value problem for the linear third order equation with hyperbolic operator in the main part. Sufficient conditions were stated to coefficients of the equation and to given functions in order that this non-local boundary value problem has a unique solution. For the proof, we use the Riemann's ethod.

引用

页码：205 / 209

页数：5

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