On the completeness of eigen and root vector systems for fourth-order operator matrices and their applications  

作　　者：王华 阿拉坦仓 黄俊杰 

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

出　　处：《Chinese Physics B》2011年第10期8-14,共7页中国物理B（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant Nos. 11061019 and 10962004);the Chunhui Program of Ministry of Education of China (Grant No. Z2009-1-01010);the Natural Science Foundation of Inner Mongolia, China(Grant Nos. 2010MS0110 and 2009BS0101);the Cultivation of Innovative Talent of ‘211 Project’ of Inner Mongolia University

摘　　要：In this paper, we consider the eigenvalue problem of a class of fourth-order operator matrices appearing in mechan- ics, including the geometric multiplicity, algebraic index, and algebraic multiplicity of the eigenvalue, the symplectic orthogonality, and completeness of eigen and root vector systems. The obtained results are applied to the plate bending problem.In this paper, we consider the eigenvalue problem of a class of fourth-order operator matrices appearing in mechan- ics, including the geometric multiplicity, algebraic index, and algebraic multiplicity of the eigenvalue, the symplectic orthogonality, and completeness of eigen and root vector systems. The obtained results are applied to the plate bending problem.

关 键 词：operator matrix eigenvalue problem EIGENVECTOR root vector COMPLETENESS 

分 类 号：O411.1[理学—理论物理]