Boundedness for sublinear Duffing equations with time-dependent potentials

DOI10.1016/J.JDE.2008.12.024zbMath1172.34026OpenAlexW2090183690MaRDI QIDQ1022927

Yi Qian Wang

Publication date: 10 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.jde.2008.12.024

zbMATH Keywords

canonical transformationboundedness of solutionstime-dependent potentialssublinear equationMoser's Twist theorem

Mathematics Subject Classification ID

Growth and boundedness of solutions to ordinary differential equations (34C11)

Related Items (12)

Boundedness of solutions of a quasi-periodic sublinear Duffing equation ⋮ Rareness of escaping orbits of the quasi-periodic Duffing equations with polynomial potentials ⋮ Boundedness for sublinear reversible systems with a nonlinear damping and periodic forcing term ⋮ On Littlewood's boundedness problem for relativistic oscillators with anharmonic potentials ⋮ On Littlewood's boundedness problem for relativistic oscillators with singular potentials ⋮ Existence of quasi-periodic solutions and Littlewood's boundedness problem of sub-linear impact oscillators ⋮ Boundedness of solutions for a class of sublinear reversible oscillators with periodic forcing ⋮ Boundedness of solutions for a class of second-order periodic systems ⋮ Boundedness of solutions for a class of second-order differential equation with singularity ⋮ The stability of the equilibrium of the damped oscillator with damping changing sign ⋮ A new approach to the existence of quasiperiodic solutions for a class of semilinear Duffing-type equations with time-periodic parameters ⋮ Escaping orbits are rare in the quasi-periodic Littlewood boundedness problem

Cites Work

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• The stability of the equilibrium of reversible systems
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• The Stability of the Equilibrium of a Nonlinear Hill’s Equation
• A variational method for the existence of bounded solutions of a sublinear forced oscillator
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