On the existence of periodic solutions to a fourth-order pp-Laplacian differential equation with a deviating argument

By means of Mawhin’s continuation theorem, the existence of periodic solution of the fourth-order pp-Laplacian differential equation with a deviating argument of the form (φp(x″(t)))″+f(x′(t))+β(t)g(t,x(t),x(t−τ(t)),x′(t))=e(t),(φp(x″(t)))″+f(x′(t))+β(t)g(t,x(t),x(t−τ(t)),x′(t))=e(t), is studied and some new results are obtained.