On a class of damped vibration problems with obstacles

DOI10.1016/j.nonrwa.2009.10.018zbMath1202.34082OpenAlexW4240643305MaRDI QIDQ984585

Xian Wu, Shaomin Wang

Publication date: 20 July 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2009.10.018

zbMATH Keywords

periodic solutioncritical pointobstaclebouncing solutionsecond order Hamiltonian system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

Related Items (4)

Multiplicity of periodic bouncing solutions for sublinear damped variation systems via nonsmooth variational methods ⋮ Existence of nonzero solutions for a class of damped vibration problems with impulsive effects. ⋮ On a class of forced vibration problems with obstacles ⋮ Existence results for impulsive damped vibration systems

Cites Work

• A new critical point theorem for locally Lipschitz functionals with applications to differential equations
• 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
• Periodic solutions of second order differential equations with an obstacle
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