Multiplicity results for periodic solutions with prescribed minimal periods to discrete Hamiltonian systems

Abstract

By making use of minimax theory and geometrical index theory, some results on the existence and multiplicity of subharmonic solutions with prescribed minimal period to discrete Hamiltonian systems are obtained.

Keywords:

• Z _p index theory
• subharmonic solutions
• prescribed minimal period
• discrete Hamiltonian systems

AMS Subject Classification::

• 39A11