Periodic solutions for a generalized pp-Laplacian equation

The existence and uniqueness of TT-periodic solutions for the following boundary value problems with pp-Laplacian: (ϕp(x′))′+f(t,x′)+g(t,x)=e(t),x(0)=x(T),x′(0)=x′(T) are investigated, where ϕp(u)=∣u∣p−2uϕp(u)=∣u∣p−2u with p>1p>1 and f,g,e are continuous and are TT-periodic in tt with f(t,0)=0f(t,0)=0. Using coincidence degree theory, some existence and uniqueness results are presented.