Homoclinic orbits for damped vibration systems with asymptotically quadratic or subquadratic potentials

DOI10.1186/s13662-016-0805-7zbMath1419.34141OpenAlexW2297544780WikidataQ59467784 ScholiaQ59467784MaRDI QIDQ1796775

Huiwen Chen, Maoxin Liao, Zigen Ouyang, Zhi Min He

Publication date: 17 October 2018

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

Full work available at URL: https://doi.org/10.1186/s13662-016-0805-7

zbMATH Keywords

variational methodshomoclinic orbitssubquadraticdamped vibration systemsasymptotically quadratic theorem

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Cites Work

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• On homoclinic orbits for a class of damped vibration systems
• Existence of homoclinic solutions for a class of second order systems
• Existence and multiplicity of homoclinic solutions for a class of damped vibration problems
• Existence and multiplicity of homoclinic orbits for second order Hamiltonian systems without \((AR)\) condition
• Homoclinic orbits for a class of Hamiltonian systems with superquadratic or asymptotically quadratic potentials
• Homoclinic solutions for a class of subquadratic second-order Hamiltonian systems
• Homoclinic solutions of some second order non-autonomous systems
• Infinitely many homoclinic orbits for the second-order Hamiltonian systems with super-quadratic potentials
• Homoclinics for asymptotically quadratic and superquadratic Hamiltonian systems
• Infinitely many homoclinic solutions for second order Hamiltonian systems
• Existence of homoclinic solutions for a class of time-dependent Hamiltonian systems
• Existence of homoclinic orbits for asymptotically periodic systems involving Duffing-like equation
• Infinitely many homoclinic orbits for the second-order Hamiltonian systems
• Infinitely many homoclinic solutions for a class of second-order Hamiltonian systems
• Some results on connecting orbits for a class of Hamiltonian systems
• Non-periodic damped vibration systems with sublinear terms at infinity: infinitely many homoclinic orbits
• Nonperiodic damped vibration systems with asymptotically quadratic terms at infinity: infinitely many homoclinic orbits
• Homoclinic solutions for a class of the second order Hamiltonian systems
• Infinitely many homoclinic solutions for a class of damped vibration problems
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• Homoclinic Orbits for Second Order Hamiltonian Systems Possessing Superquadratic Potentials
• Homoclinic orbits for a special class of non autonomous Hamiltonian systems
• Existence and multiplicity results for homoclinic solutions to a class of Hamiltonian systems
• New existence and multiplicity of homoclinic solutions for second order non-autonomous systems
• Homoclinic solutions for a class of second-order Hamiltonian systems
• Existence of infinitely many homoclinic orbits in Hamiltonian systems
• Homoclinic orbits for a class of Hamiltonian systems
• Homoclinic solutions for a class of second-order Hamiltonian systems
• Homoclinic orbits for a class of Hamiltonian systems
• Multiple homoclinic orbits for a class of Hamiltonian systems.

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