A NEW VARIATIONAL FORMULATION FOR CONVEX HAMILTONIAN SYSTEMS WITH NONLINEAR BOUNDARY CONDITIONS

Mark Lewis, Abbas Moameni

Abstract


A
variational principle is established to provide a
new formulation for convex Hamiltonian systems. Using this formulation we obtain some existence results for second order Hamiltonian systems with a variety of boundary conditions, including nonlinear ones.

Keywords


convex hamiltonian systems, variational principles, variational methods, duality theory



Remember, for most actions you have to record/upload into OJS
and then inform the editor/author via clicking on an email icon or Completion button.
Bulletin of the Aust. Math. Soc., copyright Australian Mathematical Publishing Association Inc.