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

Advances in Difference Equations

article

Liu, Wei¹  Lou, Yimin² 

[1] Department of Mathematics, Shaoxing University Yuanpei College;Institute for Numerical and Applied Mathematics, University of Göttingen

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

DOI  :  10.1186/s13662-019-2481-x

学科分类：航空航天科学

来源: SpringerOpen

【 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.

【 授权许可】

CC BY