Existence and stability of periodic solution to delayed nonlinear differential equations

The main purpose of this paper is to study the periodicity and global asymptotic stability of a generalized Lotka-Volterra’s competition system with delays. Some sufficient conditions are established for the existence and stability of periodic solution of such nonlinear differential equations. The a...

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Main Authors:	Gu, Xiang, Wang, Huicheng, Wong, P. J. Y., Xia, Yonghui
Other Authors:	School of Electrical and Electronic Engineering
Format:	Article
Language:	English
Published:	2014
Subjects:	DRNTU::Engineering::Electrical and electronic engineering
Online Access:	https://hdl.handle.net/10356/100317 http://hdl.handle.net/10220/19682
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Institution:	Nanyang Technological University
Language:	English

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spelling	sg-ntu-dr.10356-1003172020-03-07T14:00:31Z Existence and stability of periodic solution to delayed nonlinear differential equations Gu, Xiang Wang, Huicheng Wong, P. J. Y. Xia, Yonghui School of Electrical and Electronic Engineering DRNTU::Engineering::Electrical and electronic engineering The main purpose of this paper is to study the periodicity and global asymptotic stability of a generalized Lotka-Volterra’s competition system with delays. Some sufficient conditions are established for the existence and stability of periodic solution of such nonlinear differential equations. The approaches are based on Mawhin’s coincidence degree theory, matrix spectral theory, and Lyapunov functional. Published version 2014-06-11T08:36:31Z 2019-12-06T20:20:24Z 2014-06-11T08:36:31Z 2019-12-06T20:20:24Z 2014 2014 Journal Article Gu, X., Wang, H., Wong, P. J. Y., & Xia, Y. (2014). Existence and Stability of Periodic Solution to Delayed Nonlinear Differential Equations. Abstract and Applied Analysis, 2014, 156948-. https://hdl.handle.net/10356/100317 http://hdl.handle.net/10220/19682 10.1155/2014/156948 en Abstract and applied analysis Copyright © 2014 Xiang Gu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. application/pdf
institution	Nanyang Technological University
building	NTU Library
country	Singapore
collection	DR-NTU
language	English
topic	DRNTU::Engineering::Electrical and electronic engineering
spellingShingle	DRNTU::Engineering::Electrical and electronic engineering Gu, Xiang Wang, Huicheng Wong, P. J. Y. Xia, Yonghui Existence and stability of periodic solution to delayed nonlinear differential equations
description	The main purpose of this paper is to study the periodicity and global asymptotic stability of a generalized Lotka-Volterra’s competition system with delays. Some sufficient conditions are established for the existence and stability of periodic solution of such nonlinear differential equations. The approaches are based on Mawhin’s coincidence degree theory, matrix spectral theory, and Lyapunov functional.
author2	School of Electrical and Electronic Engineering
author_facet	School of Electrical and Electronic Engineering Gu, Xiang Wang, Huicheng Wong, P. J. Y. Xia, Yonghui
format	Article
author	Gu, Xiang Wang, Huicheng Wong, P. J. Y. Xia, Yonghui
author_sort	Gu, Xiang
title	Existence and stability of periodic solution to delayed nonlinear differential equations
title_short	Existence and stability of periodic solution to delayed nonlinear differential equations
title_full	Existence and stability of periodic solution to delayed nonlinear differential equations
title_fullStr	Existence and stability of periodic solution to delayed nonlinear differential equations
title_full_unstemmed	Existence and stability of periodic solution to delayed nonlinear differential equations
title_sort	existence and stability of periodic solution to delayed nonlinear differential equations
publishDate	2014
url	https://hdl.handle.net/10356/100317 http://hdl.handle.net/10220/19682
_version_	1681047772682256384

Existence and stability of periodic solution to delayed nonlinear differential equations

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