Linear Hamiltonian Dynamic Systems on Time Scales: Sturmian Property of the Principal Solution
Basic results of the oscillation and transformation theories of linear Hamiltonian dynamic systems on time scales are presented. It is shown that these results incorporate, as particular cases, oscillation and transformation theories of linear hamiltonian differential systems and symplectic difference systems. In the last part of the paper a Sturmian-type property of the principal solution of linear Hamiltonian dynamic Systems is established.
M. Bohner et al., "Linear Hamiltonian Dynamic Systems on Time Scales: Sturmian Property of the Principal Solution," Nonlinear Analysis: Theory, Methods and Applications, Elsevier, Jan 2001.
The definitive version is available at https://doi.org/10.1016/S0362-546X(01)00228-0
3rd World Congress of Nonlinear Analysis
Mathematics and Statistics
Keywords and Phrases
Linear Hamiltonian dynamic System; Time scale; roundabout theorem; principal solution
Article - Conference proceedings
© 2001 Elsevier, All rights reserved.