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arXiv · 1306.2450

Asymptotics of eigenvalues and eigenfunctions of energy-dependent Sturm--Liouville equations

Nataliya Pronska
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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.

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Nataliya Pronska. 2013-06-11. Asymptotics of eigenvalues and eigenfunctions of energy-dependent Sturm--Liouville equations. https://arxiv.org/abs/1306.2450

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