A model three-dimensional Volterra-type integral equation with singular boundary surfaces in the kernels

被引：1

作者：

Rajabov, N.

机构：

[1] Presidium Acad Sci Tajikistan, Dushanbe 734025, Tajikistan

[2] Tajik State Univ, Dushanbe 734000, Tajikistan

来源：

DOKLADY MATHEMATICS | 2006年 / 74卷 / 01期

关键词：

Boundary value problems - Functions - Mathematical models - Problem solving;

D O I：

10.1134/S1064562406040296

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A model of three-dimensional Volterra-type integral equation with singular boundary surfaces in the kernels is discussed. The problem of finding continuous solutions to a model third-order linear hyperbolic equation with three boundary singular surfaces, which is reduced integral equation. One- and two-dimensional Volterra-type integral equations with fixed boundary and interior singular points and singular lines were studied. The general solution to the equation contains 12 arbitrary functions of two variables.

引用

页码：582 / 586

页数：5

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