Subharmonic solutions of sublinear second order systems with impacts

DOI10.1016/j.jmaa.2011.01.036zbMath1221.34109OpenAlexW2034474092MaRDI QIDQ531860

Wei Ding

Publication date: 20 April 2011

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.2011.01.036

zbMATH Keywords

sublinearimpactssecond order systemssubharmonic bouncing solutions

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)

Existence of periodic solutions of sublinear Hamiltonian systems ⋮ Multiplicity of periodic bouncing solutions for sublinear damped variation systems via nonsmooth variational methods ⋮ Generalized nonsmooth saddle point theorem and its applications on second order Hamiltonian systems ⋮ Multiplicity of periodic bouncing solutions for generalized impact Hamiltonian systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Invariant tori for asymptotically linear impact oscillators
• Periodic and subharmonic solutions of a class of subquadratic second-order Hamiltonian systems
• Variational methods for non-differentiable functionals and their applications to partial differential equations
• Critical point theory and Hamiltonian systems
• Notes on periodic solutions of subquadratic second order systems.
• Invariant tori in Hamiltonian systems with impacts
• Subharmonic solutions for nonautonomous sublinear second order Hamiltonian systems
• Periodic motions in impact oscillators with perfectly elastic bounces
• On subharmonic solutions of hamiltonian systems
• Subharmonic Solutions of Conservative Systems with Nonconvex Potentials
• The obstacle problem and partial differential equations with discontinuous nonlinearities
• Periodic solutions for nonautonomous second order systems with sublinear nonlinearity
• Bouncing solutions of an equation with attractive singularity
• Periodic Motions of Linear Impact Oscillators via the Successor Map
• Periodic solutions of second order differential equations with an obstacle

This page was built for publication: Subharmonic solutions of sublinear second order systems with impacts