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

DOI10.1016/J.JMAA.2012.07.009zbMath1273.39017OpenAlexW1976187080MaRDI QIDQ714076

Ağacık Zafer

Publication date: 19 October 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.07.009

zbMATH Keywords

stabilitydifference operatorperiodic systemdisconjugacyLyapunov inequalitydiscrete planar linear Hamiltonian systems

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Periodic solutions of difference equations (39A23) Stability theory for difference equations (39A30) Linear difference equations (39A06)

Related Items (4)

Lyapunov-type inequalities for higher-dimensional Hamiltonian systems on time scales: a new generalized vector zero approach ⋮ Lyapunov inequalities for two-parametric quantum Hamiltonian systems and their applications ⋮ On the Lyapunov type inequality ⋮ Sharp Lyapunov-type inequalities for second-order half-linear difference equations with different kinds of boundary conditions

Cites Work

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• Stability criterion for second order linear impulsive differential equations with periodic coefficients
• A Disconjugacy Criterion of W. T. Reid for Difference Equations
• Difference Equations: Disconjugacy, Principal Solutions, Green's Functions, Complete Monotonicity
• On a Liapounoff Criterion of Stability

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