Existence of homoclinic solutions for a class of damped vibration problems

DOI10.1007/S12346-022-00584-ZOpenAlexW4220752483MaRDI QIDQ2123154

Shan Jiang, Guanggang Liu, Huijuan Xu

Publication date: 8 April 2022

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-022-00584-z

zbMATH Keywords

Palais-Smale conditioncritical pointshomoclinic solutionsdamped vibration problems

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Cites Work

• Fast homoclinic solutions for a class of damped vibration problems
• Infinitely many homoclinic solutions for damped vibration problems with subquadratic potentials
• Existence of homoclinic solutions for a class of second order systems
• Existence of homoclinic solutions for a class of second-order Hamiltonian systems with general potentials
• Existence and multiplicity of homoclinic solutions for a class of damped vibration problems
• Infinitely many homoclinic orbits for Hamiltonian systems with indefinite sign subquadratic potentials
• On a class of damped vibration problems with super-quadratic potentials
• Critical point theory and Hamiltonian systems
• Multiple homoclinic orbits for a class of conservative systems
• Energy decay of solutions of nonlinear viscoelastic problem with the dynamic and acoustic boundary conditions
• Non-periodic damped vibration systems with sublinear terms at infinity: infinitely many homoclinic orbits
• Homoclinic solutions for a class of the second order Hamiltonian systems
• Homoclinic solutions for nonautonomous second order Hamiltonian systems with a coercive potential
• Infinitely many homoclinic orbits for a class of second-order damped differential equations
• Homoclinic Orbits for Second Order Hamiltonian Systems Possessing Superquadratic Potentials
• Homoclinic orbits for a class of second-order Hamiltonian systems with concave-convex nonlinearities
• Existence and multiplicity results for homoclinic solutions to a class of Hamiltonian systems
• Fast homoclinic solutions for a class of damped vibration problems with subquadratic potentials
• Homoclinic orbits for a class of Hamiltonian systems
• Homoclinic orbits for a class of Hamiltonian systems

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