Stability of delay parabolic difference equations

Ashyralyev A., AĞIRSEVEN D.

Filomat, vol.28, no.5, pp.995-1006, 2014 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 28 Issue: 5
  • Publication Date: 2014
  • Doi Number: 10.2298/fil1405995a
  • Journal Name: Filomat
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.995-1006
  • Keywords: Coercive stability estimates, Delay parabolic equations, Fractional spaces, Stabiliy
  • Trakya University Affiliated: Yes

Abstract

In the present paper, the stability of difference schemes for the approximate solution of the initial value problem for delay differential equations with unbounded operators acting on delay terms in an arbitrary Banach space is studied. Theorems on stability of these difference schemes in fractional spaces are established. In practice, the stability estimates in Hölder norms for the solutions of difference schemes for the approximate solutions of the mixed problems for delay parabolic equations are obtained.