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-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2 Sayı: 2
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1016/j.nahs.2006.07.005
  • Dergi Adı: NONLINEAR ANALYSIS-HYBRID SYSTEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.532-543
  • Anahtar Kelimeler: Quasi linear differential equations, The small parameter, Piecewise constant arguments of generalized type, Periodic solutions, Stability, PIECEWISE-CONSTANT ARGUMENT, DIFFERENTIAL-EQUATIONS, GREENS-FUNCTION
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

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.