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

Authors

  • Mark Lewis
  • Abbas Moameni

Keywords:

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

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.

Published

2011-10-19

Issue

Vol. 84 No. 2 (2011)

Section

Articles
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