A nonlocal problem for singular linear systems of ordinary differential equations

被引：6
|
作者：
Abramov, A. A. [1 ]
Ul'yanova, V. I. [1 ]
Yukhno, L. F. [2 ]
机构：
[1] Russian Acad Sci, Dorodnicyn Comp Ctr, Moscow 119333, Russia
[2] Russian Acad Sci, Inst Math Modeling, Moscow 125047, Russia
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2011年 / 51卷 / 07期
基金：
俄罗斯基础研究基金会;
关键词：
singular system of ordinary differential equations; nonlocal condition; numerical method;
D O I：
10.1134/S0965542511070025
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A system of linear ordinary differential equations is examined on an infinite half-interval. This system is supplemented by the boundedness condition for solutions and a nonlocal linear condition specified by the Stieltjes integral. A method for approximating the resulting problem by a problem posed on a finite interval is proposed, and the properties of the latter are investigated. A numerically stable method for solving this problem is examined. This method uses an auxiliary boundary value problem with separated boundary conditions.
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页码：1146 / 1152
页数：7
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