Matrix Representations of Sturm-Liouville Problems with Finite Spectrum

作     者：Kong, Qingkai Volkmer, Hans Zettl, Anton 

作者机构：No Illinois Univ Dept Math Sci De Kalb IL 60115 USA Univ Wisconsin Dept Math Sci Milwaukee WI 53201 USA 

出 版 物：《RESULTS IN MATHEMATICS》 (数学成果)

年 卷 期：2009年第54卷第1-2期

页      面：103-116页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Sturm-Liouville problems matrix eigenvalue problems finite spectrum 

摘      要：We identify a class of Sturm-Liouville equations such that any Sturm-Liouville (SL) problem consisting of such an equation and an arbitrary separated or coupled real self-adjoint boundary condition has a representation as an equivalent finite dimensional matrix eigenvalue problem. Conversely, given any matrix eigenvalue problem of certain type and an arbitrary separated or coupled real self-adjoint (SL) boundary condition, we construct a class of Sturm-Liouville problems with the specified boundary condition, each of which is equivalent to the given matrix eigenvalue problem.