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

2024/12/03 by Wahid Ullah, Ullah, Wahid
Mathematics · Engineering · #Spectral Theory in Mathematical Physics #Differential Equations and Numerical Methods #Material Science and Thermodynamics

paper · pdf · doi:10.48550/arxiv.2412.02383

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 Poincaré--Birkhoff theorem, while for the second one, we consider a two-point boundary conditions of Neumann type.

Related

• Landesman-Lazer conditions for systems involving twist and positively homogeneous Hamiltonian systems
• Multiple periodic solutions for one-sided sublinear systems: A refinement of the Poincaré-Birkhoff approach
• Dual morse index estimates and application to Hamiltonian systems with P-boundary conditions
• Multiple Rotation Type Solutions for Hamiltonian Systems on T^ℓ×ℝ^2n-ℓ
• A multiplicity result for a double perturbed Schrödinger-Bopp-Podolsky-Proca system