Affiliation:
1. School of Mathematical Sciences, Qufu Normal University, Qufu 273165, China
Abstract
Matrix representations for a class of Sturm–Liouville problems with eigenparameters contained in the boundary and interface conditions were studied. Given any matrix eigenvalue problem of a certain type and an eigenparameter-dependent condition, a class of Sturm–Liouville problems with this specified condition was constructed. It has been proven that each Sturm–Liouville problem is equivalent to the given matrix eigenvalue problem.
Funder
Natural Science Foundation of Shandong Province
Subject
Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis
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