Eigenvalue problem of a class of fourth-order Hamiltonian operators

被引：0

作者：

WANG Hua ^{[1
]}

HUANG Junjie ^{[2
]}

Alatancang ^{[2
]}

机构：

[1] College of Sciences, Inner Mongolia University of Technology

[2] School of Mathematical Sciences, Inner Mongolia

来源：

AppliedMathematics:AJournalofChineseUniversities(SeriesB) | 2013年 / 28卷 / 01期

关键词：

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.

引用

页码：101 / 115

页数：15

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