On the stability of solutions of certain systems of differential equations with piecewise constant argument

Authors: Grace S.R.¹; Kulenovi cacute M.R.S.²; El-Metwally H.³

Source: Czechoslovak Mathematical Journal, Volume 52, Number 3, September 2002 , pp. 449-461(13)

Publisher: Springer

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Abstract:

We obtain some sufficient conditions for the existence of the solutions and the asymptotic behavior of both linear and nonlinear system of differential equations with continuous coefficients and piecewise constant argument.

Keywords: asymptotic behavior; delay; stability

Language: English

Document Type: Research article

Affiliations: 1: Department of Engineering Mathematics, Faculty of Engineering, Cairo University, Orman, Giza 12211, Egypt, srgrace@alpha1-eng.cairo.eun.eg 2: Department of Mathematics, University of Rhode Island, Kingston, RI 02881, USA, kulenm@math.uri.edu 3: Department of Mathematics, University of Rhode Island, Kingston, RI 02881, USA. On leave from Department of Mathematics, Faculty of Science, University of Mansoura, Mansoura, Egypt

Publication date: 2002-09-01