## A note on asymptotic equilibrium for fuzzy differential equations.(English)Zbl 1406.34004

Summary: The asymptotic equilibrium results for fuzzy differential systems $$(GCP)x^\prime = f_1(t,x,y),y^\prime= f_2(t,x,y)$$ are investigated, where $$f_1(t,x,y)$$ satisfies the compactness-type and $$f_2(t,x,y)$$ satisfies the dissipative-type conditions. It is worth mentioning that the uniformly continuous conditions of $$f(t,x,y)$$ are removed in [S. Song et al., Comput. Math. Appl. 51, No. 9–10, 1483–1492 (2006; Zbl 1157.34002)]. That is to say, the results of Song et al. [loc. cit.] are extended. In addition, the global existence and asymptotic equilibrium results of fuzzy differential systems $$(CP) x^\prime(t)=f(t,x),x(0)=x_0$$ are obtained.

### MSC:

 34A07 Fuzzy ordinary differential equations 34C60 Qualitative investigation and simulation of ordinary differential equation models 34D05 Asymptotic properties of solutions to ordinary differential equations

Zbl 1157.34002
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