Homoclinic orbits for second-order discrete Hamiltonian systems with subquadratic potential

DOI10.1186/1687-1847-2013-228zbMath1379.39006OpenAlexW2111391283WikidataQ59301067 ScholiaQ59301067MaRDI QIDQ681077

Xiaoyan Lin

Publication date: 30 January 2018

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

Full work available at URL: https://doi.org/10.1186/1687-1847-2013-228

zbMATH Keywords

critical pointhomoclinic solutiondiscrete Hamiltonian systemsubquadratic

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12)

Related Items (2)

Existence and multiplicity of homoclinic solutions for difference systems involving classical \((\phi_{1},\phi_{2})\)-Laplacian and a parameter ⋮ Homoclinic orbits for asymptotically linear discrete Hamiltonian systems

Cites Work

• Existence of infinitely many homoclinic orbits in discrete Hamiltonian systems
• Homoclinic orbits for second order self-adjoint difference equations
• Homoclinic orbits for second order discrete Hamiltonian systems with potential changing sign
• Homoclinic orbits for a singular second-order neutral differential equation
• Homoclinic orbits for discrete Hamiltonian systems with subquadratic potential
• Homoclinic orbits and subharmonics for nonlinear second order difference equations
• Existence and multiplicity of homoclinic solutions for second-order discrete Hamiltonian systems with subquadratic potential
• Existence and multiplicity results for homoclinic solutions to a class of Hamiltonian systems
• Infinitely many homoclinic orbits for discrete Hamiltonian systems with subquadratic potential
• Homoclinic solutions for a class of second order discrete Hamiltonian systems
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