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

作　　者：Kuo-Shou CHIU 

机构地区：[1]departamento de matemática, facultad de ciencias básicas, universidad metropolitana de ciencias de la educación, Jose Pedro Alessandri 774, Santiago, Chile

出　　处：《Acta Mathematica Scientia》2018年第1期220-236,共17页数学物理学报（B辑英文版）

基　　金：supported by FGI 05-16 DIUMCE

摘　　要：In this paper, we investigate the existence, uniqueness and the asymptotic equiv- alence 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.In this paper, we investigate the existence, uniqueness and the asymptotic equiv- alence 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.

关 键 词：piecewise constant argument of generalized type hybrid equations EQUIVALENCE asymptotic behavior Gronwall＇s inequality 

分 类 号：O[理学]