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.
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页码：945 / 951
页数：6
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