Eigenvalues of Sturm-Liouville problems with discontinuous boundary conditions
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Date
2017-05-10
Authors
Wang, Aiping
Zettl, Anton
Journal Title
Journal ISSN
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. Electronic Journal of Differential Equations, 2017(127), pp. 1-27.
Rights
Attribution 4.0 International