Turkish Journal of Mathematics
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.
DOI
10.3906/mat-2101-34
Keywords
weighted Sturm--Liouville equation, regularized trace formula, point $\delta $-interaction
First Page
1767
Last Page
1774
Recommended Citation
MANAFLI, M (2021). A regularized trace formula for "weighted" Sturm-Liouville equation with point delta-interaction. Turkish Journal of Mathematics 45 (4): 1767-1774. https://doi.org/10.3906/mat-2101-34
