QUASILINEAR RETARDED DIFFERENTIAL EQUATIONS WITH FUNCTIONAL DEPENDENCE ON PIECEWISE CONSTANT ARGUMENT

AKHMET M.

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, cilt.13, sa.2, ss.929-947, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 2
  • Basım Tarihi: 2014
  • Doi Numarası: 10.3934/cpaa.2014.13.929
  • Dergi Adı: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.929-947
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

We introduce a new class of differential equations, retarded differential equations with functional dependence on piecewise constant argument, RFDEPCA, and focus on quasilinear systems. Formulation of the initial value problem, bounded solutions, periodic and almost periodic solutions, their stability are under investigation. Illustrating examples are provided.