Dichotomies and asymptotic equivalence in alternately advanced and delayed differential systems

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:450

Article

Coronel, Anibal¹  Maulen, Christopher²  Pinto, Manuel²  Sepulveda, Daniel³ 

[1] Univ Bio Bio, Fac Ciencias, Dept Ciencias Basicas, GMA, Campus Fernando May, Chillan, Chile

[2] Univ Chile, Fac Ciencias, Dept Matemat, Santiago, Chile

[3] Univ Cent Chile, Fac Ciencias Educ, Escuela Matemat & Estadist, Santiago, Chile

关键词: Dichotomies;    Asymptotic equivalence;    Piecewise constant arguments;    Cauchy and Green matrices;    Hybrid equations;    Stability of solutions;   

DOI  :  10.1016/j.jmaa.2017.01.087

来源: Elsevier

【 摘 要 】

In this paper, ordinary and exponential dichotomies are defined in differential equations with equations with piecewise constant argument of general type. We prove the asymptotic equivalence between the bounded solutions of a linear system and a perturbed system with integrable and bounded perturbations. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free