Solving a singular nonlocal problem with redundant conditions for a system of linear ordinary differential equations

被引：0

作者：

A. A. Abramov

L. F. Yukhno

机构：

[1] Russian Academy of Sciences,Dorodnicyn Computing Center

[2] Moscow Institute of Physics and Technology,Institute of Applied Mathematics

[3] Russian Academy of Sciences,undefined

[4] National Research Nuclear University (Moscow Engineering Physics Institute,undefined

[5] MEPHI),undefined

来源：

Computational Mathematics and Mathematical Physics | 2015年 / 55卷

关键词：

singular system of ordinary differential equations; additional nonlocal conditions; redundant conditions; numerical stability;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A system of linear ordinary differential equations is examined on an infinite or semi-infinite interval. The basic conditions are nonlocal and are specified by a Stieltjes integral; moreover, certain redundant (and also nonlocal) conditions are imposed. At infinity, the solution is required to be bounded. A method for solving such an over-determined problem is proposed and analyzed. The method is numerically stable if an auxiliary problem that replaces the original one is numerically stable.

引用

页码：378 / 385

页数：7

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