Stability for planar linear discrete Hamiltonian systems with perturbations

DOI10.1080/00036811.2012.698269zbMath1277.39031OpenAlexW2033041587WikidataQ58291173 ScholiaQ58291173MaRDI QIDQ2844794

Jianchu Jiang, Qi-Ming Zhang, Xian Hua Tang

Publication date: 19 August 2013

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2012.698269

zbMATH Keywords

stabilityboundednessperturbationsplanar linear discrete Hamiltonian system

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Growth, boundedness, comparison of solutions to difference equations (39A22) Stability theory for difference equations (39A30) Linear difference equations (39A06)

Cites Work

• Lyapunov inequalities and stability for linear Hamiltonian systems
• Disconjugacy for linear Hamiltonian difference systems
• Spectral theory of discrete linear Hamiltonian systems.
• Lyapunov inequalities for discrete linear Hamiltonian systems
• Linear Hamiltonian difference systems: Disconjugacy and Jacobi-type conditions
• Discrete linear Hamiltonian eigenvalue problems
• Discrete breathers: localization and transfer of energy in discrete Hamiltonian nonlinear systems
• Weyl--Titchmarsh theory for a class of discrete linear Hamiltonian systems
• Strong limit point criteria for a class of singular discrete linear Hamiltonian systems
• Lyapunov inequalities and stability for discrete linear Hamiltonian systems

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