Lyapunov-Type Inequality for a Class of Discrete Systems with Antiperiodic Boundary Conditions

A class of higher-order 3-dimensional discrete systems with antiperiodic boundary conditions is investigated. Based on the existence of the positive solution of linear homogeneous system, several new Lyapunov-type inequalities are established.

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Main Authors: Xin-Ge Liu, Mei-Lan Tang
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/494593
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author Xin-Ge Liu
Mei-Lan Tang
author_facet Xin-Ge Liu
Mei-Lan Tang
author_sort Xin-Ge Liu
collection DOAJ
description A class of higher-order 3-dimensional discrete systems with antiperiodic boundary conditions is investigated. Based on the existence of the positive solution of linear homogeneous system, several new Lyapunov-type inequalities are established.
format Article
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institution Kabale University
issn 1110-757X
1687-0042
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-56baa5b53568462f9603147833132fb62025-02-03T01:03:36ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/494593494593Lyapunov-Type Inequality for a Class of Discrete Systems with Antiperiodic Boundary ConditionsXin-Ge Liu0Mei-Lan Tang1School of Mathematics and Statistics, Central South University, Changsha 410083, ChinaSchool of Mathematics and Statistics, Central South University, Changsha 410083, ChinaA class of higher-order 3-dimensional discrete systems with antiperiodic boundary conditions is investigated. Based on the existence of the positive solution of linear homogeneous system, several new Lyapunov-type inequalities are established.http://dx.doi.org/10.1155/2013/494593
spellingShingle Xin-Ge Liu
Mei-Lan Tang
Lyapunov-Type Inequality for a Class of Discrete Systems with Antiperiodic Boundary Conditions
Journal of Applied Mathematics
title Lyapunov-Type Inequality for a Class of Discrete Systems with Antiperiodic Boundary Conditions
title_full Lyapunov-Type Inequality for a Class of Discrete Systems with Antiperiodic Boundary Conditions
title_fullStr Lyapunov-Type Inequality for a Class of Discrete Systems with Antiperiodic Boundary Conditions
title_full_unstemmed Lyapunov-Type Inequality for a Class of Discrete Systems with Antiperiodic Boundary Conditions
title_short Lyapunov-Type Inequality for a Class of Discrete Systems with Antiperiodic Boundary Conditions
title_sort lyapunov type inequality for a class of discrete systems with antiperiodic boundary conditions
url http://dx.doi.org/10.1155/2013/494593
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