Stability criteria for linear Hamiltonian dynamic systems on time scales

DOI10.1186/1687-1847-2011-63zbMath1273.39002OpenAlexW2105911829WikidataQ59267687 ScholiaQ59267687MaRDI QIDQ372445

Qi-Ming Zhang, Xiaofei He, Xian Hua Tang

Publication date: 7 October 2013

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2011-63

zbMATH Keywords

stabilitytime scalesFloquet theoryLyapunov-type inequalityHamiltonian dynamical system

Mathematics Subject Classification ID

Additive difference equations (39A10) Dynamic equations on time scales or measure chains (34N05)

Related Items (8)

Existence and data-dependence theorems for fractional impulsive integro-differential system ⋮ On Hyers-Ulam stability of a multi-order boundary value problems via Riemann-Liouville derivatives and integrals ⋮ Ulam stability to a toppled systems of nonlinear implicit fractional order boundary value problem ⋮ On Ulam-Hyers-Rassias stability of a generalized Caputo type multi-order boundary value problem with four-point mixed integro-derivative conditions ⋮ Existence and Ulam-Hyers stability for Caputo conformable differential equations with four-point integral conditions ⋮ Stability of Ulam-Hyers and Ulam-Hyers-Rassias for a class of fractional differential equations ⋮ Study of implicit delay fractional differential equations under anti-periodic boundary conditions ⋮ Existence theory to a class of boundary value problems of hybrid fractional sequential integro-differential equations

Cites Work

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• On inequalities of Lyapunov for linear Hamiltonian systems on time scales
• Lyapunov inequalities and stability for linear Hamiltonian systems
• Analysis on measure chains - a unified approach to continuous and discrete calculus
• 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
• Lyapunov's inequality on timescales
• On stability zones for discrete-time periodic linear Hamiltonian systems
• Lyapunov inequality for linear Hamiltonian systems on time scales
• Stability criteria for linear periodic impulsive Hamiltonian systems
• Differential and difference calculus — Unified!
• Floquet Theory for Time Scales and Putzer Representations of Matrix Logarithms
• Lyapunov inequalities and stability for discrete linear Hamiltonian systems

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