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.
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页码：582 / 586
页数：5
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