On Littlewood's boundedness problem for relativistic oscillators with anharmonic potentials

DOI10.1016/j.jde.2014.08.017zbMath1306.34058OpenAlexW2070367931MaRDI QIDQ462909

Qihuai Liu, Chao Wang, Zhi Guo Wang

Publication date: 22 October 2014

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2014.08.017

zbMATH Keywords

boundedness of solutionsquasiperiodic solutionsMoser's small twist theoremrelativistic oscillators

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Growth and boundedness of solutions to ordinary differential equations (34C11) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

Related Items (5)

Refined upper solution bound of the continuous coupled algebraic Riccati equation ⋮ On Littlewood's boundedness problem for relativistic oscillators with singular potentials ⋮ Aubry-Mather sets for relativistic oscillators with anharmonic potentials ⋮ Numerical algorithms of the discrete coupled algebraic Riccati equation arising in optimal control systems ⋮ Existence and multiplicity results for some nonlinear problems with singular \(\phi\)-Laplacian via a geometric approach

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