Stability of delay parabolic difference equations

Ashyralyev A., AĞIRSEVEN D.

Filomat, cilt.28, sa.5, ss.995-1006, 2014 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 28 Sayı: 5
  • Basım Tarihi: 2014
  • Doi Numarası: 10.2298/fil1405995a
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.995-1006
  • Anahtar Kelimeler: Coercive stability estimates, Delay parabolic equations, Fractional spaces, Stabiliy
  • Trakya Üniversitesi Adresli: Evet

Özet

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.