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arXiv · 1712.04917

Nonuniform Almost Reducibility of Nonautonomous Linear Differential Equations

Álvaro Castañeda·Ignacio Huerta
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Abstract

We prove that a linear nonautonomous differential system with nonuniform hyperbolicity on the half line can be expressed as diagonal system with a perturbation which is small enough. Moreover we show that the diagonal terms are contained in the nonuniform exponential dichotomy spectrum. For this purpose we introduce the concepts of \textit{nonuniform almost reducibility} and \textit{nonuniform contractibility} which are generalization of this notions originally defined in a uniform context.

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Álvaro Castañeda, Ignacio Huerta. 2017-12-13. Nonuniform Almost Reducibility of Nonautonomous Linear Differential Equations. https://arxiv.org/abs/1712.04917

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