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arxiv: 1508.06154 · v2 · pith:CVTSQ3IOnew · submitted 2015-08-25 · 🧮 math.CA

Dichotomies and asymptotic equivalence in alternately advanced and delayed differential systems

classification 🧮 math.CA
keywords asymptoticboundeddichotomiesdifferentialequationsequivalencesystemadvanced
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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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