Research Article

Periodic solution for perturbed Hamiltonian systems

Published in: Quaestiones Mathematicae
Volume 47 , issue 4 : Entrepreneurship and Africa’s Cultural Context , 2024 , pages: 797–812
DOI: 10.2989/16073606.2023.2256982
Author(s): Khaled Khachnaoui University of Kairouan, Tunisia,
Keywords: Primary: 34B37, Secondary: 58E30, Hamiltonian systems, periodic solutions, Bolle’s perturbation method, superquadratic, critical point,
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Abstract

In this paper, we study the existence of infinitely many periodic solutions for second-order perturbed Hamiltonian systems. By using variational methods, we obtain new criteria to guarantee the existence of infinitely many periodic solutions using Bolle’s perturbation method. Our results improve upon those presented in the existing literature.
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