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

Published online by Cambridge University Press:  13 July 2011

MARK LEWIS
Affiliation:
Department of Mathematics and Statistics, Queen’s University, Kingston, ON, Canada K7L 3N6 (email: [email protected])
ABBAS MOAMENI*
Affiliation:
Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran (email: [email protected])
*
For correspondence; e-mail: [email protected]
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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.

Type
Research Article
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

References

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