Discrete linear Hamiltonian systems: Lyapunov type inequalities, stability and disconjugacy criteria
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol.396, no.2, pp.606-617, 2012 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 396 Issue: 2
- Publication Date: 2012
- Doi Number: 10.1016/j.jmaa.2012.07.009
- Journal Name: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.606-617
- Keywords: Hamiltonian system, Discrete, Disconjugacy, Stability, Lyapunov inequality
- Middle East Technical University Affiliated: Yes
Abstract
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.