Eigenvalue problem of a class of fourth-order Hamiltonian operators

查看全文 作　　者：WANG [1]Hua;HUANG Jun-[2]jie;[2]Alatancang

机构地区：[1]College of Sciences, Inner Mongolia University of Technology;[2]School of Mathematical Sciences, Inner Mongolia University

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》索引2013年第28卷第1期,共15页

基　　金：Supported by the National Natural Science Foundation of China (11261034,11061019);the Chunhui Program of Ministry of Education of China (Z2009-1-01010);the Inner Mongolia Natural Science Foundation of China (2010MS0110) 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. 关键词：HAMILTON算子特征值问题四阶载体系统充分条件特征向量弯曲问题指数和

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Eigenvalue problem of a class of fourth-order Hamiltonian operators

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