On a class of forced vibration problems with obstacles

DOI10.1016/J.JMAA.2007.04.036zbMath1143.34028OpenAlexW2018712701MaRDI QIDQ2473818

Xian Wu, Jianwen Zhou

Publication date: 5 March 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.04.036

zbMATH Keywords

periodic solutioncritical pointsecond order Hamiltonian system

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Periodic solutions to ordinary differential equations (34C25)

Related Items (9)

On a damped vibration problem involving \(p\)-Laplacian operator: fast homoclinic orbits ⋮ Existence of fast homoclinic solutions for a class of second-order damped vibration systems ⋮ Periodic impact behavior of a class of Hamiltonian oscillators with obstacles ⋮ Fast homoclinic solutions for a class of damped vibration problems ⋮ Existence and multiplicity of solutions for a class of forced vibration problems with obstacles ⋮ Existence of nonzero solutions for a class of damped vibration problems with impulsive effects. ⋮ Existence of fast homoclinic orbits for a class of second-order non-autonomous problems ⋮ Existence and multiplicity of fast homoclinic solutions for a class of nonlinear second-order nonautonomous systems in a weighted Sobolev space ⋮ Fast homoclinic solutions for a class of damped vibration problems with subquadratic potentials

Cites Work

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• On a class of damped vibration problems with obstacles
• Variational methods for non-differentiable functionals and their applications to partial differential equations
• Critical point theory and Hamiltonian systems
• Periodic bouncing for a forced linear spring with obstacle
• Chaotic, regular and unbounded behaviour in the elastic impact oscillator
• Invariant tori in Hamiltonian systems with impacts
• Periodic motions in impact oscillators with perfectly elastic bounces
• Intermittency in impact oscillators close to resonance

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