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 d/dt (vertical bar(u) over dot(t)vertical bar(p-2)(u) over dot(t)) = del F(t, u(t)) + f(t), where p > 1, u is an element of R-n, F is an element of C-1(R x R-n, R) is T-periodic with respect to t and f : R -> R-n is a continuous and bounded function such that F(t, x ) >= F(t, 0) + b vertical bar x vertical bar(mu) and integral(R) vertical bar f(t)vertical bar(mu/(mu-1)) dt < infinity for some b > 0 and mu > 1. (C) 2008 Elsevier Ltd. All rights reserved.