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

We study asymptotics of eigenvalues, eigenfunctions and normingconstants of singular energy-dependent Sturm--Liouville equationswith complex-valued potentials. The analysis essentially exploitsthe integral representation of solutions, which we derive usingthe connection between the problem under stu...

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Bibliographic Details
Published in:	Matematychni studii Vol. 40; no. 1; pp. 38 - 52
Main Author:	N. I. Pronska
Format:	Journal Article
Language:	English German
Published:	Ivan Franko National University of Lviv 01.10.2013
Subjects:	energy-dependent potentials Sturm > Liouville equations
ISSN:	1027-4634
Online Access:	Get full text
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Summary:	We study asymptotics of eigenvalues, eigenfunctions and normingconstants of singular energy-dependent Sturm--Liouville equationswith complex-valued potentials. The analysis essentially exploitsthe integral representation of solutions, which we derive usingthe connection between the problem under study and a Dirac system of aspecial form.
ISSN:	1027-4634
DOI:	10.30970/ms.40.1.38-52