Multiple Subharmonic Solutions of Nonautonomous Hamiltonian System

Abstract:

      By means of Z_p-index and its pseudo-index, we study the existence of multiple subharmonic solutions with prescribed minimal period for nonautonomous su-perquadratic Hamiltonian system Jz = H_z(z(t),t),z(0) = z(2πp) where H(z, t + 2πp) = H(z, t), t ∈ R, z∈R^2N. Under hypotheses H1-H4, there are at least kN distinct soultions with minimal period 2-πp.