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.

引用

页码：1146 / 1152

页数：7