LYAPUNOV-TYPE INEQUALITIES FOR PLANAR LINEAR DYNAMIC HAMILTONIAN SYSTEMS


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Bohner M., Zafer A.

APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, cilt.7, sa.1, ss.129-142, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 1
  • Basım Tarihi: 2013
  • Doi Numarası: 10.2298/aadm130211004b
  • Dergi Adı: APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.129-142
  • Anahtar Kelimeler: Hamiltonian systems, time scales, dynamic equations, time scales exponential function, Lyapunov inequality, TIME, STABILITY
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

We give new Lyapunov-type inequalities for linear Hamiltonian systems on arbitrary time scales, which improve recently published results and hence all the related ones in the literature. As an application, we obtain new diconjugacy criteria for linear Hamiltonian systems.