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

Zafer A.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol.396, no.2, pp.606-617, 2012 (SCI-Expanded) identifier identifier

  • 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.