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

Ugur O., Akhmet M.

COMPUTERS & MATHEMATICS WITH APPLICATIONS, cilt.51, sa.6-7, ss.889-896, 2006 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 51 Sayı: 6-7
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1016/j.camwa.2005.11.034
  • Dergi Adı: COMPUTERS & MATHEMATICS WITH APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.889-896
  • Anahtar Kelimeler: impulsive differential equation, boundary value problem, Sturm-Liouville problem, eigenvalue problem, BOUNDARY-VALUE PROBLEM, ORDINARY DIFFERENTIAL-EQUATIONS, INTERIOR-POINT
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

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.