Asymptotics of eigenvalues and eigenfunctions of energy-dependent Sturm--Liouville equations
Functional Analysis
2013-06-12 v1 Spectral Theory
Abstract
We study asymptotics of eigenvalues, eigenfunctions and norming constants of singular energy-dependent Sturm--Liouville equations with complex-valued potentials. The analysis essentially exploits the integral representation of solutions, which we derive using the connection of the problem under study and a Dirac system of a special form.
Keywords
Cite
@article{arxiv.1306.2450,
title = {Asymptotics of eigenvalues and eigenfunctions of energy-dependent Sturm--Liouville equations},
author = {Nataliya Pronska},
journal= {arXiv preprint arXiv:1306.2450},
year = {2013}
}