Existence of quasi-periodic solutions and Littlewood's boundedness problem of sub-linear impact oscillators

DOI10.1016/j.na.2011.05.046zbMath1227.34019OpenAlexW1967503985MaRDI QIDQ555088

Qihuai Liu, Qian, Dingbian, Zhi Guo Wang

Publication date: 22 July 2011

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.2011.05.046

zbMATH Keywords

quasi-periodic solutionsboundedness of solutionsKAMimpact oscillators

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) 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) Discontinuous ordinary differential equations (34A36) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

Related Items (3)

Periodic bouncing solutions for Hill's type sub-linear oscillators with obstacles ⋮ Boundedness of solutions for a class of impact oscillators with time-dependent polynomial potentials ⋮ Subharmonic bouncing solutions for a class of sublinear impact oscillators with indefinite weight

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