Periodic solutions of the hybrid system with small parameter


AKHMET M. , Buyukadali C., Ergenc T.

NONLINEAR ANALYSIS-HYBRID SYSTEMS, cilt.2, sa.2, ss.532-543, 2008 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 2 Konu: 2
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1016/j.nahs.2006.07.005
  • Dergi Adı: NONLINEAR ANALYSIS-HYBRID SYSTEMS
  • Sayfa Sayıları: ss.532-543

Özet

In this paper we investigate the existence and stability of the periodic solutions of a quasilinear differential equation with piecewise constant argument. The continuous and differentiable dependence of the solutions on the parameter and the initial value is considered. A new Gronwall-Bellman type lemma is proved. Appropriate examples are constructed. (c) 2007 Elsevier Ltd. All rights reserved.