REGULARIZED TRACE FORMULA FOR STURM-LIOUVILLE PROBLEM WITH RETARDED ARGUMENT AND QUADRATICALLY EIGENPARAMETER-DEPENDENT BOUNDARY CONDITION
TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, vol.12, no.2, pp.516-523, 2022 (ESCI, Scopus)
- Publication Type: Article / Article
- Volume: 12 Issue: 2
- Publication Date: 2022
- Journal Name: TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
- Page Numbers: pp.516-523
- Keywords: Differential equation with retarded argument, trace formula, asymptotics of eigenvalues, OPERATORS, EIGENVALUES, DISCONTINUITIES, EIGENFUNCTIONS, COMPUTATION
- Ondokuz Mayıs University Affiliated: Yes
Abstract
In this paper, a regularized trace formula for a discontinuous Sturm-Liouville equation with retarded argument is obtained for the case in which the spectral parameter occurs linearly in the equation and one of the boundary conditions and quadratically in the other one. The contour integration method is used to obtain that trace formula.