The Sturm-Liouville operator on the space of functions with discontinuity conditions

Ugur O., Akhmet M.

COMPUTERS & MATHEMATICS WITH APPLICATIONS, vol.51, no.6-7, pp.889-896, 2006 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 51 Issue: 6-7
  • Publication Date: 2006
  • Doi Number: 10.1016/j.camwa.2005.11.034
  • Journal Name: COMPUTERS & MATHEMATICS WITH APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.889-896
  • Keywords: impulsive differential equation, boundary value problem, Sturm-Liouville problem, eigenvalue problem, BOUNDARY-VALUE PROBLEM, ORDINARY DIFFERENTIAL-EQUATIONS, INTERIOR-POINT
  • Middle East Technical University Affiliated: Yes

Abstract

The Sturm-Liouville differential operators defined on the space of discontinuous functions, where the moments of discontinuity of the functions are interior points of the interval and the discontinuity conditions are linear have been studied. Auxiliary results concerning the Green's formula, boundary value, and eigenvalue problems for impulsive differential equations are emphasized. (C) 2006 Elsevier Ltd. All rights reserved.