On the completeness of eigen and root vector systems for fourth-order operator matrices and their applications |
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| Authors: | Wang Hu Alatancang and Huang Jun-Jie |
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| Affiliation: | School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China; College of Sciences, Inner Mongolia University of Technology, Hohhot 010051, China |
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| Abstract: | In this paper, we consider the eigenvalue problem of a class of fourth-order operator matrices appearing in mechanics, 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. |
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| Keywords: | operator matrix eigenvalue problem eigenvector root vector completeness |
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