A Trace Formula for Discontinuous Eigenvalue Problem

HIRA F., Altınışık N.

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

  • 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.