Articles

ASYMPTOTIC EQUIVALENCE OF ALTERNATELY ADVANCED AND DELAYED DIFFERENTIAL SYSTEMS WITH PIECEWISE CONSTANT GENERALIZED ARGUMENTS

  • Kuo-Shou CHIU
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  • Departamento de Matemática, Facultad de Ciencias Básicas, Universidad Metropolitana de Ciencias de la Educación, José Pedro Alessandri 774, Santiago, C

Received date: 2016-12-04

  Revised date: 2017-01-08

  Online published: 2018-02-25

Supported by

This research was in part supported by FGI 05-16 DIUMCE.

Abstract

In this paper, we investigate the existence, uniqueness and the asymptotic equivalence of a linear system and a perturbed system of differential equations with piecewise alternately advanced and retarded argument of generalized type (DEPCAG). This is based in the study of an equivalent integral equation with Cauchy and Green matrices type and in a solution of a DEPCAG integral inequality of Gronwall type. Several examples are also given to show the feasibility of results.

Cite this article

Kuo-Shou CHIU . ASYMPTOTIC EQUIVALENCE OF ALTERNATELY ADVANCED AND DELAYED DIFFERENTIAL SYSTEMS WITH PIECEWISE CONSTANT GENERALIZED ARGUMENTS[J]. Acta mathematica scientia, Series B, 2018 , 38(1) : 220 -236 . DOI: 10.1016/S0252-9602(17)30128-5

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