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Asymptotics of eigenvalues and eigenfunctions of energy-dependent Sturm-Liouville equations
Journal: Matematychni Studii (Vol.40, No. 1)Publication Date: 2013-07-01
Authors : Pronska N. I.;
Page : 38-52
Keywords : energy-dependent potentials; Sturm-Liouville equations;
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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 between the problem under study and a Dirac system of a special form.
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Last modified: 2014-01-13 20:10:12