Global exponential stability and existence of periodic solutions of fuzzy wave equations

Abstract In this paper, the global exponential stability and the existence of periodic solutions of fuzzy wave equations are investigated. By variable substitution the system of partial differential equations (PDEs) is transformed from second order to first order. Some sufficient conditions that ens...

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Main Authors:	Wei Liu, Yimin Lou
Format:	Article
Language:	English
Published:	SpringerOpen 2020-01-01
Series:	Advances in Difference Equations
Subjects:	Fuzzy Wave equations Periodic solution Exponential stability
Online Access:	https://doi.org/10.1186/s13662-019-2481-x

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spelling	doaj-1b6ce53d42474aecbd1107576869098b2021-01-10T12:52:20ZengSpringerOpenAdvances in Difference Equations1687-18472020-01-012020111710.1186/s13662-019-2481-xGlobal exponential stability and existence of periodic solutions of fuzzy wave equationsWei Liu0Yimin Lou1Department of Mathematics, Shaoxing University Yuanpei CollegeInstitute for Numerical and Applied Mathematics, University of GöttingenAbstract In this paper, the global exponential stability and the existence of periodic solutions of fuzzy wave equations are investigated. By variable substitution the system of partial differential equations (PDEs) is transformed from second order to first order. Some sufficient conditions that ensure the global exponential stability and the existence of periodic solution of the system are obtained by an analysis that uses a suitable Lyapunov functional. In addition, a concrete example is given to show the effectiveness of the results.https://doi.org/10.1186/s13662-019-2481-xFuzzyWave equationsPeriodic solutionExponential stability
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Wei Liu Yimin Lou
spellingShingle	Wei Liu Yimin Lou Global exponential stability and existence of periodic solutions of fuzzy wave equations Advances in Difference Equations Fuzzy Wave equations Periodic solution Exponential stability
author_facet	Wei Liu Yimin Lou
author_sort	Wei Liu
title	Global exponential stability and existence of periodic solutions of fuzzy wave equations
title_short	Global exponential stability and existence of periodic solutions of fuzzy wave equations
title_full	Global exponential stability and existence of periodic solutions of fuzzy wave equations
title_fullStr	Global exponential stability and existence of periodic solutions of fuzzy wave equations
title_full_unstemmed	Global exponential stability and existence of periodic solutions of fuzzy wave equations
title_sort	global exponential stability and existence of periodic solutions of fuzzy wave equations
publisher	SpringerOpen
series	Advances in Difference Equations
issn	1687-1847
publishDate	2020-01-01
description	Abstract In this paper, the global exponential stability and the existence of periodic solutions of fuzzy wave equations are investigated. By variable substitution the system of partial differential equations (PDEs) is transformed from second order to first order. Some sufficient conditions that ensure the global exponential stability and the existence of periodic solution of the system are obtained by an analysis that uses a suitable Lyapunov functional. In addition, a concrete example is given to show the effectiveness of the results.
topic	Fuzzy Wave equations Periodic solution Exponential stability
url	https://doi.org/10.1186/s13662-019-2481-x
work_keys_str_mv	AT weiliu globalexponentialstabilityandexistenceofperiodicsolutionsoffuzzywaveequations AT yiminlou globalexponentialstabilityandexistenceofperiodicsolutionsoffuzzywaveequations
_version_	1724342177659617280

Global exponential stability and existence of periodic solutions of fuzzy wave equations

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