Homoclinic solutions for ordinary p-Laplacian systems with a coercive potential

A result for the existence of homoclinic orbits is obtained for p-Laplacian systems ddt(|u̇(t)|p−2u̇(t))=∇F(t,u(t))+f(t), where p>1,u∈Rn, F∈C1(R×Rn,R) is T-periodic with respect to t and f:R→Rn is a continuous and bounded function such that F(t,x)≥F(t,0)+b|x|μ and ∫R|f(t)|μ/(μ−1)dt<∞ for some b>0 and μ>1.