A Trace Formula for Discontinuous Eigenvalue Problem

HIRA F., Altınışık N.

FILOMAT, vol.31, no.8, pp.2425-2431, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 31 Issue: 8
  • Publication Date: 2017
  • Doi Number: 10.2298/fil1708425h
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.2425-2431
  • Keywords: Regularized trace formula, Gelfand-Levitan trace formula, discontinuous eigenvalue problem, 2ND-ORDER DIFFERENTIAL OPERATOR, REGULARIZED TRACE, EQUATION
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

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.