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EXISTENCE OF SOLUTIONS OF FUZZY CONTROL DIFFERENTIAL EQUATIONS

Nguyen Dinh Phu 1
Tran Thanh Tung 1
Volume & Issue: Vol. 10 No. 5 (2007) | Page No.: 5-12 | DOI: 10.32508/stdj.v10i5.2777
Published: 2007-05-31

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Copyright The Author(s) 2023. This article is published with open access by Vietnam National University, Ho Chi Minh city, Vietnam. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0) which permits any use, distribution, and reproduction in any medium, provided the original author(s) and the source are credited. 

Abstract

Recently, the field of differential equations has been studying in a very abstract method. Instead of considering the behaviour of one solution of a differential equation, one studies its sheaf-solution (see[10-11]). Instead of studying a differential equation, one studies differential inclusion (see[9]). Especially, one studies fuzzy differential equation (a differential equation whose variables and derivative are fuzzy sets, see[1-7]).In this paper, a fuzzy differential equation is generalized to be fuzzy control differential equation (FCDE) and we present the existence and comparison of solutions of (FCDE). This paper is a continuation of our works in this direction (see (10-13]).

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