Quasilinear retarded  differential  equations with functional  dependence  on piecewise constant argument

Marat Akhmet

doi:10.3934/cpaa.2014.13.929

Article Contents

2014, Volume 13, Issue 2: 929-947. Doi: 10.3934/cpaa.2014.13.929

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Quasilinear retarded differential equations with functional dependence on piecewise constant argument

Marat Akhmet^1,

1.
Department of Mathematics, Middle East Technical University, 06531, Ankara

Received: November 30, 2012

Revised: June 30, 2013

Published: February 2014

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Abstract

We introduce a new class of differential equations, retarded differential equations with functional dependence on piecewise constant argument, $RFDEPCA$ and focus on quasilinear systems. Formulation of the initial value problem, bounded solutions, periodic and almost periodic solutions, their stability are under investigation. Illustrating examples are provided.

Keywords:

Mathematics Subject Classification: Primary: 34; Secondary: 34K13, 34K14, 34K20.

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