JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol.396, no.2, pp.606-617, 2012 (SCI-Expanded)
Article / Article
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Science Citation Index Expanded (SCI-EXPANDED), Scopus
Hamiltonian system, Discrete, Disconjugacy, Stability, Lyapunov inequality
Middle East Technical University Affiliated:
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.