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

Part of: Infinite-dimensional Hamiltonian systems

Published online by Cambridge University Press:  13 July 2011

MARK LEWIS  and
ABBAS MOAMENI
MARK LEWIS
Affiliation:
Department of Mathematics and Statistics, Queen’s University, Kingston, ON, Canada K7L 3N6 (email: mlewis@mast.queensu.ca)
ABBAS MOAMENI*
Affiliation:
Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran (email: momeni@mast.queensu.ca)
*
✉For correspondence; e-mail: momeni@auk.edu.kw
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Abstract

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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 systemsvariational principlesvariational methodsduality theory

MSC classification

Secondary: 37K05: Hamiltonian structures, symmetries, variational principles, conservation laws
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 84 , Issue 2 , October 2011 , pp. 186 - 204
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

References

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