A Trace Formula for Discontinuous Eigenvalue Problem

HIRA, FATMA; Altınışık, Nihat

doi:10.2298/fil1708425h

A Trace Formula for Discontinuous Eigenvalue Problem

HIRA F., Altınışık N.

FILOMAT, cilt.31, sa.8, ss.2425-2431, 2017 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 31 Sayı: 8
Basım Tarihi: 2017
Doi Numarası: 10.2298/fil1708425h
Dergi Adı: FILOMAT
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.2425-2431
Anahtar Kelimeler: Regularized trace formula, Gelfand-Levitan trace formula, discontinuous eigenvalue problem, 2ND-ORDER DIFFERENTIAL OPERATOR, REGULARIZED TRACE, EQUATION
Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

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.