Block basis property of a class of 2 x 2 operator matrices and its application to elasticity
Block basis property of a class of 2 x 2 operator matrices and its application to elasticity
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一类 2 x 2 算子矩阵的分块基性质及其在弹性中的应用
DOI：
10.1088/1674-1056/22/9/094601
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发表时间：
2013
影响因子：
1.7
通讯作者：
Alatancang
中科院分区：
文献类型：
--
作者：
Song Kuan;Hou Guo-Lin;Alatancang
得到了2x2算子矩阵的广义特征函数系统是Hilbert空间的块Schauder基的一个充要条件，为用分离变量法求解辛弹性问题提供了数学基础。此外，通过可分离哈密顿系统将理论结果应用于两平面弹性问题。
A necessary and sufficient condition is obtained for the generalized eigenfunction systems of 2× 2 operator matrices to be a block Schauder basis of some Hilbert space, which offers a mathematical foundation of solving symplectic elasticity problems by using the method of separation of variables. Moreover, the theoretical result is applied to two plane elasticity problems via the separable Hamiltonian systems.