The existence and uniqueness of solution for the nonlinear fuzzy differential equations with nonlocal initial condition

비국소 초기 조건을 갖는 비선형 퍼지 미분방정식에 대한 해의 존재성과 유일성

  • Kim, Mi-Ran (Dept. of Mathematics, Dong-a University) ;
  • Park, Jong-Seo (Dept. of Mathematics Education, Chinju National University of Education) ;
  • Kim, Seon-Yu (Dept. of Mathematics Education, Chinju National University of Education)
  • Published : 2001.12.01

Abstract

In this paper, we study the existence and uniqueness of fuzzy solution for the nonlinear fuzzy differential equations with nonlocal initial condition in E$\sub$N/$\^$2/ by using the concept of fuzzy number of dimension 2 whose values are normal convex upper semicontinuous and compactly supported surface in R$_2$.

Keywords