Boundedness and unboundedness of solutions for reversible oscillators at resonance

DOI10.1016/j.na.2005.09.025zbMath1105.34020OpenAlexW2093867744MaRDI QIDQ5920617

Xiong Li

Publication date: 14 August 2006

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.2005.09.025

zbMATH Keywords

boundedness of solutiontwist theorem for reversible map

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Growth and boundedness of solutions to ordinary differential equations (34C11) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items

Unbounded solutions and periodic solutions for second order differential equations with asymmetric nonlinearity ⋮ Bounded and unbounded motions in asymmetric oscillators at resonance ⋮ Existence and infinity of periodic solutions of some second order differential equations with isochronous potentials ⋮ Littlewood's problem for isochronous oscillators ⋮ Periodic and unbounded motions in asymmetric oscillators at resonance

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