REGULARIZED TRACE FORMULA FOR STURM-LIOUVILLE PROBLEM WITH RETARDED ARGUMENT AND QUADRATICALLY EIGENPARAMETER-DEPENDENT BOUNDARY CONDITION
TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, cilt.12, sa.2, ss.516-523, 2022 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 12 Sayı: 2
- Basım Tarihi: 2022
- Dergi Adı: TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
- Sayfa Sayıları: ss.516-523
- Anahtar Kelimeler: Differential equation with retarded argument, trace formula, asymptotics of eigenvalues, OPERATORS, EIGENVALUES, DISCONTINUITIES, EIGENFUNCTIONS, COMPUTATION
- Ondokuz Mayıs Üniversitesi Adresli: Evet
Özet
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.