Eigenvalues of Sturm-Liouville problems with discontinuous boundary conditions

Date

2017-05-10

Authors

Wang, Aiping
Zettl, Anton

Journal Title

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Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

For classical regular two-point self-adjoint Sturm-Liouville problems (SLP) the dependence of the eigenvalues on the boundary conditions is well understood because of some surprisingly recent results. Recently there has been a lot of interest in problems with discontinuous boundary conditions. Such conditions are known by various names including transmission conditions, interface conditions, point interactions (in the physics literature), etc. Here we extend the known classical results to such problems.

Description

Keywords

Eigenvalue properties, Discontinuous boundary conditions

Citation

Wang, A., & Zettl, A. (2017). Eigenvalues of Sturm-Liouville problems with discontinuous boundary conditions. <i>Electronic Journal of Differential Equations, 2017</i>(127), pp. 1-27.

Rights

Attribution 4.0 International

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