Symplectic Geometry Applied to Boundary Problems on Hamiltonian Difference Systems

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Abstract

In this work, we consider the boundary problem for Hamiltonian difference system

on an discrete interval I. Applying the concept of symplectic geometry, we give a complete account to the form of all possible symmetric boundary conditions with respect to separation or coupling at the endpoints for the complete Lagrangian space, following the development of the GKN-theory.  

Keywords

Hamiltonian difference system , boundary space , symplectic invariant , boundary condition
  • Zhenlai Han Institute of Applied Mathematics, Naval Aeronautical Engineering Institute, Yantai, 264001, P.R. China.
  • Shurong Sun School of mathematics, Shandong University, Jinan, 250100, P.R. China and School of Science, Jinan University, Jinan, 250022, P.R. China.
  • Pages: 73-86
  • Date Published: 2006-08-01
  • Vol. 8 No. 2 (2006): CUBO, A Mathematical Journal

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Published

2006-08-01

How to Cite

[1]
Z. Han and S. Sun, “Symplectic Geometry Applied to Boundary Problems on Hamiltonian Difference Systems”, CUBO, vol. 8, no. 2, pp. 73–86, Aug. 2006.

Issue

Vol. 8 No. 2 (2006): CUBO, A Mathematical Journal

Section

Articles