Perturbation Formulas for a Nonlinear Eigenvalue Problem for Ordinary Differential Equations

被引：0

作者：

Abramov, A. A. ^{[1
]}

Yukhno, L. F. ^{[2
]}

机构：

[1] Russian Acad Sci, Fed Res Ctr Comp Sci & Control, Dorodnicyn Comp Ctr, Moscow 119333, Russia

[2] Russian Acad Sci, Keldysh Inst Appl Math, Moscow 125047, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2018年 / 58卷 / 06期

关键词：

system of ordinary differential equations; nonlinear eigenvalue problem; nonlocal additional conditions; perturbation theory;

D O I：

10.1134/S0965542518060027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The eigenvalue problem for a linear system of ordinary differential equations is considered. The problem is nonlinear with respect to the spectral parameter and involves generally nonlocal additional conditions specified by a Stieltjes integral. Additionally, the input data of the problem depend on a numerical parameter. Formulas giving the principal part of the variation in the solution of the eigenvalue problem under a small variation in this parameter are proposed.

引用

页码：858 / 862

页数：5

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