Differential Equations With State-Dependent Piecewise Constant Argument

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Date

2010

Journal Title

Journal ISSN

Volume Title

Publisher

Pergamon-elsevier Science Ltd

Abstract

A new class of differential equations with state-dependent piecewise constant argument is introduced. It is an extension of systems with piecewise constant argument. Fundamental theoretical results for the equations the existence and uniqueness of solutions, the existence of periodic solutions, and the stability of the zero solution are obtained. Appropriate examples are constructed. (C) 2010 Elsevier Ltd. All rights reserved.

Description

Akhmet, Marat/0000-0002-2985-286X

Keywords

Ordinary Differential Equations, State-Dependent Piecewise Constant Argument, Existence And Uniqueness Of Solutions, Periodic Solutions, Asymptotic Stability

WoS Q

Q1

Scopus Q

Q2

Source

Volume

72

Issue

11

Start Page

4200

End Page

4210