中国物理B ›› 2011, Vol. 20 ›› Issue (10): 100202-100202.doi: 10.1088/1674-1056/20/10/100202
阿拉坦仓1, 黄俊杰1, 王华2
Wang Hua(王华)a)b), Alatancang (阿拉坦仓) a), and Huang Jun-Jie(黄俊杰)a)†
摘要: 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.
中图分类号: (Operator theory)