Existence of at least one non-trivial periodic solution for a class of ordinary p-Hamiltonian systems

Based on recent variational methods for smooth functionals defined on reflexive Banach spaces, We prove the existence of at least one non-trivial solution for a class of  p-Hamiltonian systems. Employing one critical point theorem, existence of at least one weak solutions is ensured. This approach is based on variational methods and critical point theory. The technical approach is mainly based on the at least one non -trivial solution critical point theorem of G. Bonanno.

کلیدواژه ها:

Multiple periodic solutions ، Hamiltonian systems ، Critical point theory ، Variational methods.