Periodic solutions for third order p-Laplacian equation with a deviating argument

By means of Mawhin's continuation theorem, we study a third-order p-Laplacian differential equation(ϕp(u″(t)))′+f(t,u′(t),u″(t))+g(t,u(t-τ(t)))=e(t).Under various assumptions, the existence of periodic solutions is obtained. Moreover, some examples are given to illustrate the results.