Integral manifolds of differential equations with piecewise constant argument of generalized type


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Akhmet M. U.

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, cilt.66, ss.367-383, 2007 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 66 Konu: 2
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1016/j.na.2005.11.032
  • Dergi Adı: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
  • Sayfa Sayıları: ss.367-383

Özet

In this paper we introduce a general type of differential equations with piecewise constant argument (EPCAG). The existence of global integral manifolds of the quasilinear EPCAG is established when the associated linear homogeneous system has an exponential dichotomy. The smoothness of the manifolds is investigated. The existence of bounded and periodic solutions is considered. A new technique of investigation of equations with piecewise argument, based on an integral representation formula, is proposed. Appropriate illustrating examples are given. (c) 2005 Elsevier Ltd. All rights reserved.