Anti-periodic solutions for a class of nonlinear nth-order differential equations with delays

In this paper, we use the Leray-Schauder degree theory to establish new results on the existence and uniqueness of anti-periodic solutions for a class of nonlinear nth-order differential equations with delays of the form x(n)(t)+f(t,x(n−1)(t))+g(t,x(t−τ(t)))=e(t).