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Matrix Representations for a Class of Eigenparameter Dependent Sturm–Liouville Problems with Discontinuity

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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… Click to show full 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.

Keywords: sturm; class; liouville problems; sturm liouville; matrix representations

Journal Title: Axioms
Year Published: 2023

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