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.
@article{1606,
title = {Symplectic Geometry Applied to Boundary Problems on Hamiltonian Difference Systems},
journal = {CUBO, A Mathematical Journal},
volume = {8},
year = {2006},
language = {en},
url = {http://dml.mathdoc.fr/item/1606}
}
Han, Zhenlai; Sun, Shurong. Symplectic Geometry Applied to Boundary Problems on Hamiltonian Difference Systems. CUBO, A Mathematical Journal, Tome 8 (2006) 14 p. http://gdmltest.u-ga.fr/item/1606/