Hyers-Ulam-Rassias stability of non-linear delay differential equations

In this paper, we prove the Hyers-Ulam-Rassias stability and Hyers-Ulam stability of delay differential equation of the form y^(n) =F(t, {y^(i)(t)}n-1 i=0 , {y^(i) (t -λ)} n-1 i=0, with Lipschitz condition by using fixed point approach. The results of the paper generalize most of the results concerning the stability of delay differential equations in the existing literature