EXISTENCE OF AT LEAST ONE NON-TRIVIAL PERIODIC SOLUTION FOR A CLASS OF ORDINARY P-HAMILTONIAN SYSTEMS

Document Type : Original Article

Authors
Abdollah Nazari 1
Mohammad Reza Heidari Tavani 2
Esmaeil Mombeini 2
1 Department of Mathematics, Kazerun Branch, Islamic Azad University,Kazerun, Iran.
2 Department of Mathematics, Ramhormoz Branch, Islamic Azad University,Ramhormoz, Iran
10.22034/maco.3.1.2
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 pHamiltonian 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

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Mathematical Analysis and Convex Optimization
Volume 3, Issue 1
June 2022
Pages 15-22