A Note on Asymptotic Equilibrium for Fuzzy Differential Equations

Yabin Shao, Shengui Zhang and Yanping Xiao

Journal of Applied Mathematics, 2014, vol. 2014, issue 1

Abstract: The asymptotic equilibrium results for fuzzy differential systems (GCP) x′ = f1(t, x, y), y′ = f2(t, x, y) are investigated, where f1(t, x, y) satisfies the compactness‐type and f2(t, x, y) satisfies the dissipative‐type conditions. It is worth mentioning that the uniformly continuous conditions of f(t, 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) = f(t, x), x(0) = x0 are obtained.

Date: 2014
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https://doi.org/10.1155/2014/768457

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2014:y:2014:i:1:n:768457

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