Existence and multiplicity of solutions for a class of forced vibration problems with obstacles

DOI10.1016/j.na.2009.02.021zbMath1176.34023OpenAlexW2087827718MaRDI QIDQ924020

Xian Li, Xian Wu

Publication date: 24 July 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.02.021

zbMATH Keywords

critical pointsecond order Hamiltonian systembouncing periodic solution

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

Related Items (1)

Periodic impact behavior of a class of Hamiltonian oscillators with obstacles

Cites Work

• Periodic solutions of second order differential equations with discontinuous nonlinearities
• 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
• On a class of forced vibration problems with obstacles
• 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
• On a class of damped vibration problems with obstacles and without direct variational structures
• Periodic Solutions of Nonlinear Hyperbolie Partial Differential Equations
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