ASYMPTOTIC APPROXIMATIONS OF EIGENFUNCTIONS FOR REGULAR STURM-LIOUVILLE PROBLEMS WITH EIGENVALUE PARAMETER IN THE BOUNDARY CONDITION FOR INTEGRABLE POTENTIAL

COŞKUN, HASKIZ; KABATAŞ, AYŞE

doi:10.7146/math.scand.a-15486

ASYMPTOTIC APPROXIMATIONS OF EIGENFUNCTIONS FOR REGULAR STURM-LIOUVILLE PROBLEMS WITH EIGENVALUE PARAMETER IN THE BOUNDARY CONDITION FOR INTEGRABLE POTENTIAL

COŞKUN H., KABATAŞ A.

MATHEMATICA SCANDINAVICA, vol.113, no.1, pp.143-160, 2013 (SCI-Expanded, Scopus)

Publication Type: Article / Article
Volume: 113 Issue: 1
Publication Date: 2013
Doi Number: 10.7146/math.scand.a-15486
Journal Name: MATHEMATICA SCANDINAVICA
Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Page Numbers: pp.143-160
Open Archive Collection: AVESIS Open Access Collection
Karadeniz Technical University Affiliated: Yes

Abstract

In this paper we obtain asymptotic estimates of eigenfunctions for regular Sturm-Liouville problems having the eigenparameter in the boundary condition without smoothness conditions on the potential.