Eigenvalue problem of a class of fourth-order Hamiltonian operators

被引：0
|
作者：
WANG Hua [1 ]
HUANG Jun-jie [2 ]
Alatancang [2 ]
机构：
[1] College of Sciences, Inner Mongolia University of Technology
[2] School of Mathematical Sciences, Inner Mongolia University
来源：
Applied Mathematics:A Journal of Chinese Universities | 2013年 / 01期
基金：
中国国家自然科学基金;
关键词：
Hamiltonian operator; eigenvalue; multiplicity; completeness;
D O I：
暂无
中图分类号：
O177 [泛函分析];
学科分类号：
070104 ;
摘要：
The eigenvalue problem of a class of fourth-order Hamiltonian operators is studied. We first obtain the geometric multiplicity, the algebraic index and the algebraic multiplicity of each eigenvalue of the Hamiltonian operators. Then, some necessary and sufficient conditions for the completeness of the eigen or root vector system of the Hamiltonian operators are given, which is characterized by that of the vector system consisting of the first components of all eigenvectors. Moreover, the results are applied to the plate bending problem.
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页码：101 / 115
页数：15
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