Multiparameter spectral problem for some weakly coupled systems of Hamiltonian equations

被引：0

作者：

A. A. Abramov

V. I. Ul’yanova

L. F. Yukhno

机构：

[1] Dorodnitsyn Computing Center of the Russian Academy of Sciences,

[2] Institute for Mathematical Modeling of the Russian Academy of Sciences,undefined

来源：

Differential Equations | 2008年 / 44卷

关键词：

Cauchy Problem; Newton Method; Spectral Parameter; Spectral Problem; Auxiliary Problem;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider a multiparameter spectral problem for a weakly coupled system of ordinary differential equations in which every equation is Hamiltonian and contains two unknown functions. Using the notion of the number of an eigenvalue for a problem with one such equation, we give a statement of the problem of finding the desired eigentuple of values for the problem with several equations. We prove the existence and uniqueness of a solution of this problem and suggest and study a numerical solution method.

引用

页码：945 / 951

页数：6

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