We examine transformations and diconjugacy for general symplectic systems which include as special cases linear Hamiltonian difference systems and Sturm-Liouville difference equations of higher order. We give a Reid roundabout theorem for these systems and also for reciprocal symplectic systems. Particularly, we investigate a connection between eventual disconjugacy of linear Hamiltonian difference systems and their reciprocals. Finally, we present a dinsconjugacy-preserving transformation of a Sturm-Liouville equation of higher order which transforms this equation into another one of the same order.
M. Bohner and O. Došlý, "Disconjugacy and Transformations for Symplectic Systems," Rocky Mountain Journal of Mathematics, Rocky Mountain Mathematics Consortium, Jan 1997.
The definitive version is available at https://doi.org/10.1216/rmjm/1181071889
Mathematics and Statistics
International Standard Serial Number (ISSN)
Article - Journal
© 1997 Rocky Mountain Mathematics Consortium, All rights reserved.