A note on asymptotic equilibrium for fuzzy differential equations
type: Item
instance of: scholarly article
title: A note on asymptotic equilibrium for fuzzy differential equations
zbMATH Open document ID: 1406.34004
DOI: 10.1155/2014/768457
author: Yabin Shao
author: Shengui Zhang
author: Yan-Ping Xiao
published in: Journal of Applied Mathematics
publication date: 2019-02-01T00:00:00Z
review text: 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 [\textit{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.
Mathematics Subject Classification ID: 34A07
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 34D05
zbMATH DE Number: 7010750
Wikidata QID: Q59052314
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/768457
OpenAlex ID: W2007963864
DBLP publication ID: journals/jam/ShaoZX14
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description: scientific article; zbMATH DE number 7010750