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.
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页码：858 / 862
页数：5
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