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内蒙古自治区呼和浩特市赛罕区大学西街235号 邮编: 010021
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.