Nonexistence of homoclinic solutions for a class of discrete Hamiltonian systems

DOI10.1155/2013/398681zbMath1275.39001OpenAlexW2012785634WikidataQ58916175 ScholiaQ58916175MaRDI QIDQ369915

Xiao-Ping Wang

Publication date: 19 September 2013

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/398681

zbMATH Keywords

nonexistencehomoclinic solutionsfirst-order nonlinear discrete Hamiltonian system

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Cites Work

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• Lyapunov inequalities and stability for linear Hamiltonian systems
• A discrete analogue of Lyapunov-type inequalities for nonlinear difference systems
• Lyapunov inequalities for time scales.
• A discrete analogue of the inequality of Lyapunov
• Lyapunov-type inequalities for nonlinear systems
• A discrete analogue of Lyapunov-type inequalities for nonlinear systems
• Stability criteria for linear periodic Hamiltonian systems
• Lyapunov inequalities for discrete linear Hamiltonian systems
• Lyapunov-type inequalities for the first-order nonlinear Hamiltonian systems
• Lyapunov inequality for linear Hamiltonian systems on time scales
• Stability criteria for linear periodic impulsive Hamiltonian systems
• Difference Equations: Disconjugacy, Principal Solutions, Green's Functions, Complete Monotonicity
• A Liapunov Inequality for Linear Hamiltonian Systems
• Lyapunov inequalities and stability for discrete linear Hamiltonian systems
• Lyapunov inequalities and stability for discrete linear Hamiltonian systems

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