On a Family of Singular Integro-Differential Equations

被引：7
|
作者：
Bulatov, M. V. [1 ]
Chistyakova, E. V. [1 ]
机构：
[1] Russian Acad Sci, Inst Syst Dynam & Control Theory, Siberian Branch, Irkutsk 664033, Russia
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2011年 / 51卷 / 09期
基金：
俄罗斯基础研究基金会;
关键词：
integro-differential equations; matrix polynomials; finite difference schemes; ALGEBRAIC EQUATIONS; NUMERICAL-SOLUTION; SYSTEMS;
D O I：
10.1134/S0965542511090065
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Integro-differential systems in which the matrix multiplying the derivative of the unknown vector function is identically singular are analyzed. This analysis is based on the special properties of the matrix polynomials associated with the original system. An existence theorem is proved, and a numerical method for finding the solution is proposed and justified.
引用
收藏
页码：1558 / 1566
页数：9
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