Aiping Wang, Anton Zettl
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.
Submitted March 31, 2017. Published May 10, 2017.
Math Subject Classifications: 34B20, 34B24, 47B25.
Key Words: Eigenvalue properties; discontinuous boundary conditions.
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Aiping Wang Department of Mathematics Harbin Institute of Technology Harbin 150001, China email: aiping@hit.edu.cn | |
Anton Zettl Mathematics Deparment Northern Illinois University DeKalb, IL, USA email: zettl@msn.com |
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