排序方式: 共有126条查询结果,搜索用时 15 毫秒
111.
一类缺项算子矩阵的四类点谱的扰动 总被引:1,自引:0,他引:1
有界线性算子的点谱可进一步细分为4类,分别为$\sigma_{p1}$, $\sigma_{p2}$, $\sigma_{p3}$ 和$\sigma_{p4}$.设 $H, K$为无穷维可分的Hilbert空间,用$M_C$表示$2\times 2$上三角算子矩阵$\left(\begin{array}{cc} A & C \\ 0 & B \\ \end{array} \right)$,对于给定的 $A\in B(H),~B\in B(K)$,描述了集合$\bigcap\limits_{C\in B(K,H)}\sigma_{p1}(M_C)$, $\bigcap\limits_{C\in B(K,H)}\sigma_{p2}(M_C)$, $\bigcap\limits_{C\in B(K,H)}\sigma_{p3}(M_C)$和$\bigcap\limits_{C\in B(K,H)}\sigma_{p4}(M_C)$. 相似文献
112.
An algorithm and its application for obtaining some kind of infinite-dimensional Hamiltonian canonical
formulation 下载免费PDF全文
Using factorization viewpoint of differential operator, this paper
discusses how to transform a
nonlinear evolution equation to infinite-dimensional Hamiltonian linear
canonical formulation.
It proves a sufficient
condition of canonical factorization of operator, and provides
a kind of mechanical algebraic method to achieve canonical
evolution equation, infinite-dimensional Hamiltonian canonical system, factorization of differential operator, commutator, evolution equation, infinite-dimensional Hamiltonian canonical system, factorization of differential operator, commutator Project supported by the National
Natural Science Foundation of China (Grant
No~10562002) and the Natural Science Foundation of Nei Mongol, China
(Grant No~200508010103). 2007-05-09 {\partial}/{\partial x}Corresponding author.E-mail:alatanca@imu.edu.cn /qk/85823A/200711/25754042.html 0200, 0340 5/9/2007 12:00:00 AM Using factorization viewpoint of differential operator, this paper
discusses how to transform a
nonlinear evolution equation to infinite-dimensional Hamiltonian linear
canonical formulation.
It proves a sufficient
condition of canonical factorization of operator, and provides
a kind of mechanical algebraic method to achieve canonical
$`{\partial}/{\partial x}'$-type expression, correspondingly. Then
three examples are given, which show the application of the obtained
algorithm. Thus a novel idea for inverse problem can be derived feasibly. http://cpb.iphy.ac.cn/CN/10.1088/1009-1963/16/11/002 https://cpb.iphy.ac.cn/CN/article/downloadArticleFile.do?attachType=PDF&id=108838 2007-11-20 '-type expression, correspondingly. Then
three examples are given, which show the application of the obtained
algorithm. Thus a novel idea for inverse problem can be derived feasibly. 相似文献
113.
只有纯虚谱的Hamilton算子 总被引:1,自引:1,他引:0
刻画了一类无穷维Hamilton算子的谱的分布情况,并得到了无穷维Hamilton算子只有纯虚谱的充分条件.最后,构造出具体的例子以说明判别准则的有效性. 相似文献
114.
This paper studies the eigenfunction expansion method to solve the two-dimensional(2D) elasticity problems based on the stress formulation.The fundamentalsystem of partial differential equations of the 2D problems is rewritten as an upper tri-angular differential system based on the known results,and then the associated uppertriangular operator matrix matrix is obtained.By further research,the two simpler com-plete orthogonal systems of eigenfunctions in some space are obtained,which belong tothe two block operators arising in the operator matrix.Then,a more simple and conve-nient general solution to the 2D problem is given by the eigenfunction expansion method.Furthermore,the boundary conditions for the 2D problem,which can be solved by thismethod,are indicated.Finally,the validity of the obtained results is verified by a specificexample. 相似文献
115.
116.
对来源于平面弹性问题的Hamilton算子的本征值问题进行了研究.在矩形域内含位移和应力的混合边界条件下,首先求解了相应算子的本征函数.接着,证明了本征函数系的完备性,这为施行分离变量法求解相应问题提供了可行性.最后,利用文中的辛本征展开定理获得了问题的一般解. 相似文献
117.
Completeness of the system of eigenvectors of off-diagonal operator matrices and its applications in elasticity theory 下载免费PDF全文
This paper deals with off-diagonal operator matrices and their applications in elasticity theory.Two kinds of completeness of the system of eigenvectors are proven,in terms of those of the compositions of two block operators in the off-diagonal operator matrices.Using these results,the double eigenfunction expansion method for solving upper triangular matrix differential systems is proposed.Moreover,we apply the method to the two-dimensional elasticity problem and the problem of bending of rectangular thin plates on elastic foundation. 相似文献
118.
119.
利用算子分块方法研究了具有一般定义域的形式Hamilton算子的可逆性和可逆补,还进一步给出了无穷维Hamilton算子的相关结论. 相似文献
120.
本文讨论了力学中出现的一类4×4无界Hamilton算子矩阵的本征向量组的块状Schauder基性质.在一定的条件下, 考虑了此类Hamilton算子矩阵的本征值问题, 进而给出了其本征向量组是某个Hilbert空间的一组块状Schauder基的一个充要条件,并通过矩形薄板的自由振动和弯曲问题验证了所得结果的有效性. 相似文献