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


Ugur O. , Akhmet M. U.

COMPUTERS & MATHEMATICS WITH APPLICATIONS, cilt.51, ss.889-896, 2006 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 51
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1016/j.camwa.2005.11.034
  • Dergi Adı: COMPUTERS & MATHEMATICS WITH APPLICATIONS
  • Sayfa Sayıları: ss.889-896

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.