A regularized trace formula for "weighted" Sturm-Liouville equation with point delta-interaction

Authors

MANAF MANAFLI

DOI

10.3906/mat-2101-34

Abstract

In this study, we obtain a formula for the regularized trace formula for "weighted" Sturm--Liouville equation with point $\delta $- interaction. At the begining, for the correct determination of solutions of analyzed equation at the point of discontinuty, the matching conditions are required. As a result, an equation is derived for the eigenvalues of the differential operator given in this study.

Keywords

weighted Sturm--Liouville equation, regularized trace formula, point $\delta $-interaction

First Page

1767

Last Page

1774

Recommended Citation

MANAFLI, MANAF (2021) "A regularized trace formula for "weighted" Sturm-Liouville equation with point delta-interaction," Turkish Journal of Mathematics: Vol. 45: No. 4, Article 22. https://doi.org/10.3906/mat-2101-34
Available at: https://journals.tubitak.gov.tr/math/vol45/iss4/22