文献类型：期刊文献

英文题名：Global exponential stability and existence of periodic solutions of fuzzy wave equations

作者：Liu, Wei[1];Lou, Yimin[2]

机构：[1]Shaoxing Univ, Yuanpei Coll, Dept Math, Shaoxing, Peoples R China;[2]Univ Gottingen, Inst Numer & Appl Math, Gottingen, Germany

年份：2020

卷号：2020

期号：1

外文期刊名：ADVANCES IN DIFFERENCE EQUATIONS

收录：SCI-EXPANDED(收录号：WOS:000513550700002)、、Scopus(收录号：2-s2.0-85077632924)、WOS

基金：This research was funded The Ministry of Education's Cooperative Education Program for Industry-University Cooperation (No. 201801123017) and Research Project on Teaching Reform of Higher Education in Zhejiang Province (No. JG20160261).

语种：英文

外文关键词：Fuzzy; Wave equations; Periodic solution; Exponential stability

外文摘要：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.