Nonuniform dichotomy spectrum and reducibility for nonautonomous difference equations

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.

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Autores principales:	Chu Jifeng, Liao Fang-Fang, Siegmund Stefan, Xia Yonghui, Zhu Hailong
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	dichotomy spectrum nonuniform exponential dichotomy reducibility 37d25 37b55 Analysis QA299.6-433
Acceso en línea:	https://doaj.org/article/a5ab003efe584088a77b1e4dc99cdf08
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spelling	oai:doaj.org-article:a5ab003efe584088a77b1e4dc99cdf082021-12-05T14:10:40ZNonuniform dichotomy spectrum and reducibility for nonautonomous difference equations2191-94962191-950X10.1515/anona-2020-0198https://doaj.org/article/a5ab003efe584088a77b1e4dc99cdf082021-07-01T00:00:00Zhttps://doi.org/10.1515/anona-2020-0198https://doaj.org/toc/2191-9496https://doaj.org/toc/2191-950XFor 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.Chu JifengLiao Fang-FangSiegmund StefanXia YonghuiZhu HailongDe Gruyterarticledichotomy spectrumnonuniform exponential dichotomyreducibility37d2537b55AnalysisQA299.6-433ENAdvances in Nonlinear Analysis, Vol 11, Iss 1, Pp 369-384 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	dichotomy spectrum nonuniform exponential dichotomy reducibility 37d25 37b55 Analysis QA299.6-433
spellingShingle	dichotomy spectrum nonuniform exponential dichotomy reducibility 37d25 37b55 Analysis QA299.6-433 Chu Jifeng Liao Fang-Fang Siegmund Stefan Xia Yonghui Zhu Hailong Nonuniform dichotomy spectrum and reducibility for nonautonomous difference equations
description	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.
format	article
author	Chu Jifeng Liao Fang-Fang Siegmund Stefan Xia Yonghui Zhu Hailong
author_facet	Chu Jifeng Liao Fang-Fang Siegmund Stefan Xia Yonghui Zhu Hailong
author_sort	Chu Jifeng
title	Nonuniform dichotomy spectrum and reducibility for nonautonomous difference equations
title_short	Nonuniform dichotomy spectrum and reducibility for nonautonomous difference equations
title_full	Nonuniform dichotomy spectrum and reducibility for nonautonomous difference equations
title_fullStr	Nonuniform dichotomy spectrum and reducibility for nonautonomous difference equations
title_full_unstemmed	Nonuniform dichotomy spectrum and reducibility for nonautonomous difference equations
title_sort	nonuniform dichotomy spectrum and reducibility for nonautonomous difference equations
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/a5ab003efe584088a77b1e4dc99cdf08
work_keys_str_mv	AT chujifeng nonuniformdichotomyspectrumandreducibilityfornonautonomousdifferenceequations AT liaofangfang nonuniformdichotomyspectrumandreducibilityfornonautonomousdifferenceequations AT siegmundstefan nonuniformdichotomyspectrumandreducibilityfornonautonomousdifferenceequations AT xiayonghui nonuniformdichotomyspectrumandreducibilityfornonautonomousdifferenceequations AT zhuhailong nonuniformdichotomyspectrumandreducibilityfornonautonomousdifferenceequations
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Nonuniform dichotomy spectrum and reducibility for nonautonomous difference equations

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