EXISTENCE OF SOLUTIONS OF SET CONTROL DIFFERENTIAL EQUATIONS

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]).