QUASILINEAR RETARDED DIFFERENTIAL EQUATIONS WITH FUNCTIONAL DEPENDENCE ON PIECEWISE CONSTANT ARGUMENT


AKHMET M.

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, cilt.13, ss.929-947, 2014 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 13 Konu: 2
  • Basım Tarihi: 2014
  • Doi Numarası: 10.3934/cpaa.2014.13.929
  • Dergi Adı: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
  • Sayfa Sayıları: ss.929-947

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.