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


Zafer A.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.396, sa.2, ss.606-617, 2012 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 396 Konu: 2
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1016/j.jmaa.2012.07.009
  • Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
  • Sayfa Sayıları: ss.606-617

Özet

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.