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-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 396 Sayı: 2
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1016/j.jmaa.2012.07.009
  • Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.606-617
  • Anahtar Kelimeler: Hamiltonian system, Discrete, Disconjugacy, Stability, Lyapunov inequality
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

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.