TY - JOUR JF - lu-maco JO - MACO VL - 3 IS - 1 PY - 2022 Y1 - 2022/6/01 TI - Existence of at least one non-trivial periodic solution for a class of ordinary p-Hamiltonian systems TT - N2 - 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. SP - 15 EP - 22 AU - Nazari, Abdollah AU - Heidari Tavani, Mohammad Reza AU - Mombeini, Esmaeil AD - Department of Mathematics, Ramhormoz Branch, Islamic Azad University,Ramhormoz, Iran KW - Multiple periodic solutions KW - Hamiltonian systems KW - Critical point theory KW - Variational methods. UR - http://maco.lu.ac.ir/article-1-102-en.html DO - 10.52547/maco.3.1.2 ER -