Periodic Solutions of Perturbed Superquadratic Hamiltonian Systems

摘要

This paper proves the existence of infinitely many distinct T-periodic solutions of a certain perturbed Hamiltonian system under the conditions that H is of C sub 1, superquadratic, and possesses exponential or polynomial growth at infinity and that f is of sub 1, 2 and T-periodic, via minimax methods. Keywords: Monotone truncations, A priori estimates, Multiple periodic solutions.