Monotone iterative method for boundary value problems of fuzzy differential equations

摘要

This paper provides some existence results about first-order fuzzy differential equation with two-point boundary value condition. Firstly, we study a class of linear fuzzy differential equation and some necessary conditions for the existence of solutions are provided. Based on these conditions and the upper and lower solutions method, we obtain some existence results about first-order nonlinear differential equations with the same boundary value condition.