On disconjugacy and stability criteria for discrete Hamiltonian systems

DOI10.1016/j.camwa.2011.08.013zbMath1232.39018OpenAlexW1984332763MaRDI QIDQ662217

Razye Mert, Ağacık Zafer

Publication date: 21 February 2012

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.08.013

zbMATH Keywords

stabilityHamiltonian systemdiscretedisconjugacyLyapunov inequalityperiodic

Mathematics Subject Classification ID

Hamilton's equations (70H05) Periodic solutions of difference equations (39A23)

Related Items (3)

Lyapunov-type inequalities for higher-dimensional Hamiltonian systems on time scales: a new generalized vector zero approach ⋮ Lyapunov-type inequalities and disconjugacy for some nonlinear difference system ⋮ Discrete linear Hamiltonian systems: Lyapunov type inequalities, stability and disconjugacy criteria

Cites Work

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• Stability criteria for linear periodic Hamiltonian systems
• Lyapunov inequalities for discrete linear Hamiltonian systems
• On Lyapunov inequality in stability theory for Hill's equation on time scales
• The Lyapunov stability for the linear and nonlinear damped oscillator with time-periodic parameters
• Stability of nonlinear autonomous quadratic discrete systems in the critical case
• Stability criteria for linear periodic impulsive Hamiltonian systems
• On certain problems on the maximum and minimum of characteristic values and on the Lyapunov zones of stability
• Stability criterion for second order linear impulsive differential equations with periodic coefficients
• Difference Equations: Disconjugacy, Principal Solutions, Green's Functions, Complete Monotonicity

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