Matrix representations of Sturm–Liouville problems with coupled eigenparameter-dependent boundary conditions
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摘要
We study the matrix representations of Sturm–Liouville problems with coupled eigenparameter-dependent boundary conditions with a finite spectrum. We prove for any positive integer n, the considered problems have at most eigenvalues, and show that this kind of Sturm–Liouville problems with coupled eigenparameter-dependent boundary conditions is equivalent to a class of matrix eigenvalue problems in the sense that they have exactly the same eigenvalues.
论文关键词:Sturm–Liouville problems,Matrix eigenvalue problems,Finite spectrum,Coupled eigenparameter-dependent boundary conditions
论文评审过程:Available online 21 July 2014.
论文官网地址:https://doi.org/10.1016/j.amc.2014.06.096