مشخصات پژوهش

‎In this paper we study the dependence of solutions of uncertain initial value problems (UIVP) on the initial values‎. ‎Introducing a contraction mapping and using Banach Fixed‎ ‎Point Theorem (BFPT)‎, ‎the existence and uniqueness (EaU) of solutions of the UIVP will be proven‎. ‎We show that under appropriate assumptions‎, ‎the solutions of UIVP are continues and differentiable with respect to initial conditions (ICs)‎. ‎The paper will be ended by proving a theorem about the existence of solutions of an autonomous UIVP under weaker conditions‎. ‎This theorem is a generalization of Peano Theorem to UDEs‎.