Abstract
In this paper, we use Schauder and Banach fixed point theorem to study
the existence, uniqueness and stability of periodic solutions of a class
of iterative differential equation $$\alpha
x’‘(t)+\beta x’(t)+\gamma
x(t)=\lambda_1(t)x(t)+\lambda_2(t)x(x(t))+\cdots+\lambda_n(t)x^{[n]}(t)+f(t).$$