Revisiting fuzzy differential equations

被引：71

作者：

Bhaskar, TG ^{[1
]}

Lakshmikantham, V ^{[1
]}

Devi, V ^{[1
]}

机构：

[1] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2004年 / 58卷 / 3-4期

关键词：

fuzzy differential equations; differential inclusions;

D O I：

10.1016/j.na.2004.05.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We revisit the original formulation of fuzzy differential equations (FDEs) and provide examples to show that the theory of FDEs is richer than the corresponding theory of ordinary differential equations (ODEs) and therefore need not be rejected. The alternative formulation in terms of differential inclusions does not always have advantage over ODEs, as claimed. We also discuss a stability result via Lyapunov functions in this setup. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：351 / 358

页数：8

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