A trace formula for the Sturm-Liouville type equation with retarded argument

Year 2017, Volume: 66 Issue: 1, 124 - 132, 01.02.2017

Fatma Hıra

https://doi.org/10.1501/Commua1_0000000782

Cited By: 4

Abstract

In this paper, we deal with a discontinuous Sturm-Liouville problem with retarded argument and eigenparameter-dependent boundary conditions. We obtain the asymptotic formulas for the eigenvalues and the regularized trace formula for the problem

Keywords

Diğerential equation with retarded argument, trace formula, asymptotic of eigenvalues

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• Current address, F. Hıra: Department of Mathematics, Arts and Science Faculty, Hitit Uni- versity, Çorum, 19030, Turkey
• E-mail address, F. Hıra: [e-mail], [e-mail]