Jump To中央區塊/Main Content :::
:::

Dynamical Systems Seminar

Multiplicity results for periodic and Neumann-type boundary value problems associated with Hamiltonian systems


  • Date : 2025/03/21 (Fri.) 13:30~14:30
  • Location : online
  • Speaker : Wahid Ullah (University of Trieste)
  • Host(s) : Yi-Chiuan Chen (AS)
  • Abstract : In this talk, I will focus on the periodic and Neumann-type boundary value problems associated with Hamiltonian systems. I classify my presentation into three parts. In the first part, I will discuss some extensions of the higher dimension Poincar´e–Birkhoff theorem for coupled Hamiltonian systems. The systems we are coupling have completely different behaviours: the first one is a system with periodic Hamiltonian in the space variable, while the second one is either a system having generalized lower/upper solutions, or a positive 2-homogeneous Hamiltonian system, or a positively (p, q)-homogeneous Hamiltonian system. In the second part of my talk, I will discuss some multiplicity results for Neumann-type boundary value problems. The final part of my talk is dedicated to my recent result concerning multiplicity of solutions for Hamiltonian systems associated with mixed periodic and Neumann-type boundary conditions.
:::