Discrete linear Hamiltonian systems: Lyapunov type inequalities, stability and disconjugacy criteria

[摘要] In this paper, we first establish new Lyapunov type inequalities for discrete planar linear Hamiltonian systems. Next, by making use of the inequalities, we derive stability and disconjugacy criteria. Stability criteria are obtained with the help of the Floquet theory, so the system is assumed to be periodic in that case. (C) 2012 Elsevier Inc. All rights reserved.

[发布日期] 2012-12-15

[关键词] Hamiltonian system;Discrete;Disconjugacy;Stability;Lyapunov inequality