Hyers-Ulam-Rassias Stability for a First Order Functional Differential Equation

Abstract

In this paper, by using the fixed point method, we prove two new results on the Hyers-Ulam-Rassias and the Hyers-Ulam stability for the first order delay differential equation of the form y'(t) = F(t, y(t), y(t - tau)). Our results improve some related results in the literature.