Homoclinic solutions for second order discrete Hamiltonian systems with superquadratic potentials

DOI10.1080/10236198.2012.721356zbMath1306.37023OpenAlexW2001675284MaRDI QIDQ2846796

Huiwen Chen, Zhi Min He

Publication date: 3 September 2013

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2012.721356

zbMATH Keywords

mountain pass theoremvariational methodshomoclinic solutiondiscrete Hamiltonian systemsuperquadratic conditions

Mathematics Subject Classification ID

Related Items (5)

Multiple homoclinic orbits for second order discrete Hamiltonian systems without symmetric condition ⋮ New results for second order discrete Hamiltonian systems ⋮ Homoclinic orbits for second order discrete Hamiltonian systems with general potentials ⋮ HOMOCLINIC SOLUTIONS OF DISCRETE NONLINEAR SYSTEMS VIA VARIATIONAL METHOD ⋮ Infinitely many homoclinic solutions for second-order discrete Hamiltonian systems

Cites Work

• Unnamed Item
• Unnamed Item
• A variational approach to homoclinic orbits in Hamiltonian systems
• Homoclinic orbits for second order self-adjoint difference equations
• Homoclinic solutions for a class of non-autonomous subquadratic second-order Hamiltonian systems
• Existence of homoclinic solutions for a class of time-dependent Hamiltonian systems
• Periodic and subharmonic solutions for superquadratic discrete Hamiltonian systems.
• Infinitely many homoclinic orbits for the second-order Hamiltonian systems
• Subharmonic solutions with prescribed minimal period of a discrete forced pendulum equation
• Some results on connecting orbits for a class of Hamiltonian systems
• Multiple positive solutions of singular and nonsingular discrete problems via variational methods
• Periodic solutions of first order linear difference equations
• Dual variational methods in critical point theory and applications
• Homoclinic orbits and subharmonics for nonlinear second order difference equations
• Existence of a periodic solution for subquadratic second-order discrete Hamiltonian system
• Multiple positive solutions of singular discrete \(p\)-Laplacian problems via variational methods
• Periodic solutions of nonlinear second-order difference equations
• Homoclinic solutions for a class of the second order Hamiltonian systems
• Existence and multiplicity of homoclinic solutions for second-order discrete Hamiltonian systems with subquadratic potential
• On the Generalized Emden–Fowler Equation
• Homoclinic orbits for a special class of non autonomous Hamiltonian systems
• THE EXISTENCE OF PERIODIC AND SUBHARMONIC SOLUTIONS OF SUBQUADRATIC SECOND ORDER DIFFERENCE EQUATIONS
• Periodic solutions of higher-dimensional discrete systems
• PERIODIC SOLUTIONS OF SECOND ORDER SELF-ADJOINT DIFFERENCE EQUATIONS
• Existence and multiplicity results for homoclinic solutions to a class of Hamiltonian systems
• Homoclinic orbits for a class of Hamiltonian systems
• Homoclinic solutions for a class of second-order Hamiltonian systems

This page was built for publication: Homoclinic solutions for second order discrete Hamiltonian systems with superquadratic potentials