Criterion for exponential dichotomy of periodic generalized linear differential equations and an application to admissibility

2022/08/24 by Gallegos, Claudio A., Robledo, Gonzalo · 2 citations
#34A06 #34A30 #34D09 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.2208.11788

Abstract

In this paper, we provide a necessary and sufficient condition ensuring the property of exponential dichotomy for periodic linear systems of generalized differential equations. This condition allow us to revisit a recent result of admissibility, obtaining an alternative formulation with a particular simplicity.

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• Pugh's global linearization for the nonautonomous unbounded system with μ-dichotomy via Lyapunov theory
• Stable invariant manifold for generalized ODEs with applications to measure differential equations

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