Differential equations with state-dependent piecewise constant argument


AKHMET M., Buyukadali C.

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, cilt.72, ss.4200-4210, 2010 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 72 Konu: 11
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1016/j.na.2010.01.050
  • Dergi Adı: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
  • Sayfa Sayıları: ss.4200-4210

Özet

A new class of differential equations with state-dependent piecewise constant argument is introduced. It is an extension of systems with piecewise constant argument. Fundamental theoretical results for the equations the existence and uniqueness of solutions, the existence of periodic solutions, and the stability of the zero solution are obtained. Appropriate examples are constructed. (C) 2010 Elsevier Ltd. All rights reserved.