Periodic solutions for p-Laplacian differential equation with multiple deviating arguments

By employing Mawhin's continuation theorem, the existence of periodic solutions of the p-Laplacian differential equation with multiple deviating arguments(ϕp(x′(t)))′+f(x(t))x′(t)+∑j=1nβj(t)g(x(t-γj(t)))=e(t)under various assumptions are obtained.