Integral operator inverting the initial-boundary value problem for a hyperbolic equation on a geometric graph

被引：1

作者：

Pryadiev, V. L. ^{[1
]}

机构：

[1] Belgorod State Univ, Belgorod 308015, Russia

来源：

DOKLADY MATHEMATICS | 2008年 / 78卷 / 03期

关键词：

Integral Operator; Hyperbolic Equation; DOKLADY Mathematic; Transmission Condition; Volterra Equation;

D O I：

10.1134/S1064562408060306

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A study was conducted to formulate an integral operator, inverting the initial boundary value problem for a hyperbolic equation on a geometric graph. The study demonstrated that application of the Riemann method for a general geometric graph faces considerable difficulties, which have been overcome for a geometric star graph. The method used, was based on the possibility of representing the kernel in the form of a linear combination of Green's function cutoffs for the boundary value problem.

引用

页码：920 / 922

页数：3