On the Stability of First Order Ordinary Differential Equation with a Nonlocal Condition

الملخص

In this paper we study the existence and uniqueness of solution for the first order differential
equation,????????
????????
+ ????(????, ????(????)) = 0,???? ∈ [0, ????] with the nonlocal condition ????(1) + ????
???? ????(????)|????=???????? = ???????? ., then
we prove that the solution is uniformly stable.