Computation of eigenvalues and eigenfunctions of a discontinuous boundary value problem with retarded argument

Bayramov A., Uslu S., Caliskan S.

APPLIED MATHEMATICS AND COMPUTATION, vol.191, pp.592-600, 2007 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 191
  • Publication Date: 2007
  • Doi Number: 10.1016/j.amc.2007.02.118
  • Journal Name: APPLIED MATHEMATICS AND COMPUTATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.592-600
  • Keywords: differential equation with retarded argument, transmission conditions, asymptotics of eigenvalues and eigenfunctions
  • Yıldız Technical University Affiliated: Yes

Abstract

In this study a discontinuous boundary value problem with retarded argument and with transmission conditions at the point of discontinuity are investigated. In the special case that our problem is continuous (i. e. when delta = 1 in below) the obtained results coincidewith corresponding results in [S. B. Norkin, On boundary problem of Sturm-Liouville type for second-order differential equation with retarded argument, Izv. Vyss . Ucebn. Zaved. Matematika 6 (7) (1958) 203-214]. (c) 2007 Elsevier Inc. All rights reserved.