A Note on Asymptotic Equilibrium for Fuzzy Differential Equations

The asymptotic equilibrium results for fuzzy differential systems GCP x′=f1t,x,y,y′=f2(t,x,y) are investigated, where f1t,x,y satisfies the compactness-type and f2t,x,y satisfies the dissipative-type conditions. It is worth mentioning that the uniformly continuous conditions of ft,x,y are removed in...

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Bibliographic Details
Main Authors: Yabin Shao, Shengui Zhang, Yanping Xiao
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/768457
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Summary:The asymptotic equilibrium results for fuzzy differential systems GCP x′=f1t,x,y,y′=f2(t,x,y) are investigated, where f1t,x,y satisfies the compactness-type and f2t,x,y satisfies the dissipative-type conditions. It is worth mentioning that the uniformly continuous conditions of ft,x,y are removed in Song et al. (2005). That is to say, the results of Song et al. (2005) are extended. In addition, the global existence and asymptotic equilibrium results of fuzzy differential systems CP x′t=ft,x, x0=x0 are obtained.
ISSN:1110-757X
1687-0042