Title of article :
EXISTENCE OF AT LEAST ONE NON-TRIVIAL PERIODIC SOLUTION FOR A CLASS OF ORDINARY P-HAMILTONIAN SYSTEMS
Author/Authors :
Nazari ، Abdollah Department of Mathematics - Islamic Azad University, Kazerun Branch , Heidari Tavani ، Mohammad Reza Department of Mathematics - Islamic Azad University, Ramhormoz Branch , Mombeini ، Esmaeil Department of Mathematics - Islamic Azad University, Ramhormoz Branch
Abstract :
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.
Keywords :
Multiple periodic solutions , Hamiltonian systems , Critical point theory , Variational methods
Journal title :
Mathematical Analysis and Convex Optimization
Journal title :
Mathematical Analysis and Convex Optimization
