Dichotomies and asymptotic equivalence in alternately advanced and delayed differential systems
Classical Analysis and ODEs
2015-09-29 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1508.06154,
title = {Dichotomies and asymptotic equivalence in alternately advanced and delayed differential systems},
author = {Aníbal Coronel and Christopher Maulén and Manuel Pinto and Daniel Sepúlveda},
journal= {arXiv preprint arXiv:1508.06154},
year = {2015}
}
Comments
20 pages, 0 figures