On Nonuniform Polynomial Trichotomy of Linear Discrete-Time Systems in Banach Spaces-Reference-Cited by-同舟云学术

On Nonuniform Polynomial Trichotomy of Linear Discrete-Time Systems in Banach Spaces

Published:2014 Issue: Volume:2014 Page:1-6
ISSN:1110-757X
Container-title:Journal of Applied Mathematics
language:en
Short-container-title:Journal of Applied Mathematics

Author:

Li Zhi-gang¹^ORCID,Song Xiao-qiu¹,Yang Xiu-li¹

Affiliation:

1. College of Science, China University of Mining and Technology, Xuzhou, Jiangsu 221008, China

Abstract

We study two nonuniform polynomial trichotomy concepts for linear discrete-time systems in Banach spaces. Our main objective is to give summation property for nonuniform polynomial trichotomies. As for applications we obtain characterization of these concepts in terms of Lyapunov functions.

Funder

Fundamental Research Funds for the Central Universities

Publisher

Hindawi Limited

Subject

Applied Mathematics

Link

http://downloads.hindawi.com/journals/jam/2014/807265.pdf

Reference14 articles.

1. Polynomial growth rates

2. Stable manifolds for nonuniform polynomial dichotomies

3. On Uniform Exponential Trichotomy of Evolution Operators in Banach Spaces

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