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EXISTENCE OF SOLUTIONS OF SET CONTROL DIFFERENTIAL EQUATIONS

Nguyen Dinh Phu 1
Tran Thanh Tung 1
Volume & Issue: Vol. 10 No. 6 (2007) | Page No.: 5-14 | DOI: 10.32508/stdj.v10i6.2786
Published: 2007-06-30

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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[8]). Instead of studying a differential equation, one studies differential inclusion (see[10]). Specially, one studies set differential equation ( a differential equation whose variables and derivative are sets, ( see[1-7]), a fuzzy differential equation is generalized to be fuzzy control differential equation (FCDE), (see[13]). In this paper, a set differential equation is generalized to be set control differential equation (SCDE) and we present the existence and comparison of solutions of (SCDE).This paper is a continuation of our works in this direction (see [11-15]).

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