Homoclinic orbits for a class of p-Laplacian systems with periodic assumption
نویسنده
چکیده
In this paper, by using a linking theorem, some new existence criteria of homoclinic orbits are obtained for the p-Laplacian system d(|u̇(t)|p−2u̇(t))/dt + ∇V (t, u(t)) = f(t), where p > 1, V (t, x) = −K(t, x) + W (t, x).
منابع مشابه
INFINITELY MANY HOMOCLINIC ORBITS OF SECOND-ORDER p-LAPLACIAN SYSTEMS
In this paper, we give several new sufficient conditions for the existence of infinitely many homoclinic orbits of the second-order ordinary p-Laplacian system d dt (|u̇(t)|p−2u̇(t)) − a(t)|u(t)|p−2u(t) +∇W (t, u(t)) = 0, where p > 1, t ∈ R, u ∈ R , a ∈ C(R,R) and W ∈ C(R × R ,R) are no periodic in t, which greatly improve the known results due to Rabinowitz and Willem.
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