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arXiv · 1508.06154

Dichotomies and asymptotic equivalence in alternately advanced and delayed differential systems

Aníbal Coronel·Christopher Maulén·Manuel Pinto·Daniel Sepúlveda
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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.

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Aníbal Coronel, Christopher Maulén, Manuel Pinto, Daniel Sepúlveda. 2015-09-28. Dichotomies and asymptotic equivalence in alternately advanced and delayed differential systems. https://arxiv.org/abs/1508.06154

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