Homoclinic solutions for ordinary p-Laplacian systems

摘要

A new result for the existence of homoclinic orbits is obtained for ordinary p-Laplacian system ddt(|u˙(t)|p-2u˙(t))+∇V(t,u(t))=f(t), where p > 1, t ∈ R, u ∈ Rn and V ∈ C1(R × Rn, R), V(t, x) = −K(t, x) + W(t, x) is T-periodic with respect to t, T > 0 and f : R → Rn is a continuous and bounded function. This result generalizes and improves some known results in the previous literature.