Filomat 2017 Volume 31, Issue 8, Pages: 2425-2431
https://doi.org/10.2298/FIL1708425H
Full text (
234 KB)
A trace formula for discontinuous eigenvalue problem
Hıra Fatma (Hitit University, Faculty of Arts and Sciences, Department of Mathematics, Çorum, Turkey)
Altınışık Nihat (Ondokuz Mayıs University, Faculty of Arts and Sciences, Department of Mathematics, Samsun, Turkey)
In this paper, we deal with a Sturm-Liouville problem which has discontinuity
at one point and contains an eigenparameter in a boundary condition. We
obtain a regularized trace formula for the problem.
Keywords: Regularized trace formula, Gelfand-Levitan trace formula, discontinuous eigenvalue problem