English

A multiplicity result for Hamiltonian systems with mixed periodic-type and Neumann-type boundary conditions

Classical Analysis and ODEs 2024-12-10 v2

Abstract

We investigate the multiplicity of solutions for a Hamiltonian system coupling two systems associated with mixed boundary conditions. Corresponding to the first system, we impose periodic boundary conditions and assume the twist assumption commonly used for the Poincar\'e--Birkhoff theorem, while for the second one, we consider a two-point boundary conditions of Neumann type.

Keywords

Cite

@article{arxiv.2412.02383,
  title  = {A multiplicity result for Hamiltonian systems with mixed periodic-type and Neumann-type boundary conditions},
  author = {Wahid Ullah},
  journal= {arXiv preprint arXiv:2412.02383},
  year   = {2024}
}