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arXiv · 1504.04665

Nonuniform $(h,k,\mu,\nu)$-Dichotomy with Applications to Nonautonomous Dynamical Systems

Jimin Zhang·Meng Fan·Liu Yang
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Abstract

The paper develops and studies a very general notion of dichotomy, referred to as "nonuniform $(h,k,\mu,\nu)$-dichotomy". The new notion contains as special cases most versions of dichotomy existing in the literature. The paper then provides corresponding new versions of robustness, Hartman-Grobman theorem, and stable manifold theorem for nonautonomous dynamical systems in Banach spaces in term of the nonuniform $(h,k,\mu,\nu)$-dichotomy.

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Jimin Zhang, Meng Fan, Liu Yang. 2015-04-18. Nonuniform $(h,k,\mu,\nu)$-Dichotomy with Applications to Nonautonomous Dynamical Systems. https://arxiv.org/abs/1504.04665

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