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Your search keyword '"Liao, Fang-Fang"' showing total 14 results
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14 results on '"Liao, Fang-Fang"'

1. Nonuniform dichotomy spectrum and reducibility for nonautonomous difference equations

Author

Chu Jifeng, Liao Fang-Fang, Siegmund Stefan, Xia Yonghui, and Zhu Hailong

Subjects
dichotomy spectrum, nonuniform exponential dichotomy, reducibility, 37d25, 37b55, Analysis, QA299.6-433
Abstract

For nonautonomous linear difference equations, we introduce the notion of the so-called nonuniform dichotomy spectrum and prove a spectral theorem. As an application of the spectral theorem, we prove a reducibility result.

Published
2021
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2. Nonuniform dichotomy spectrum and reducibility for nonautonomous equations

Author

Chu, Jifeng, Liao, Fang-Fang, Siegmund, Stefan, Xia, Yonghui, and Zhang, Weinian

Subjects
Mathematics - Dynamical Systems
Abstract

For nonautonomous linear differential equations with nonuniform hyperbolicity, we introduce a definition for nonuniform dichotomy spectrum, which can be seen as a generalization of Sacker-Sell spectrum. We prove a spectral theorem and use the spectral theorem to prove a reducibility result., Comment: arXiv admin note: substantial text overlap with arXiv:1402.1599

Published
2014

10. Admissibility for Nonuniform $(\mu ,\nu )$ Contraction and Dichotomy

Author

Jiang, Yongxin and Liao, Fang-fang

Abstract

The relation between the notions of nonuniform asymptotic stability and admissibility is considered. Using appropriate Lyapunov norms, it is showed that if any of their associated ${\scr L}^{p}$ spaces, with $p\in (1,\infty ]$ , is admissible for a given evolution process, then this process is a nonuniform $(\mu ,\nu )$ contraction and dichotomy. A collection of admissible Banach spaces for any given nonuniform $(\mu ,\nu )$ contraction and dichotomy is provided.

Published
2012

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