A small twist theorem and boundedness of solutions for semilinear Duffing equations at resonance

DOI10.1016/j.na.2006.04.023zbMath1187.34043OpenAlexW2085440146MaRDI QIDQ880294

Shiwang Ma, Jianhong Wu

Publication date: 15 May 2007

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.2006.04.023

zbMATH Keywords

boundednessresonanceMoser's small twist theoremsemilinear duffing equation

Mathematics Subject Classification ID

Growth and boundedness of solutions to ordinary differential equations (34C11) Dynamical aspects of twist maps (37E40)

Related Items (5)

On the existence of solutions for impulsive Duffing dynamic equations on time scales with Dirichlet boundary conditions ⋮ Bounded and unbounded motions in asymmetric oscillators at resonance ⋮ Existence of solutions of periodic boundary value problems for impulsive functional Duffing equations at nonresonance case ⋮ Boundedness of semilinear Duffing equations with singularity ⋮ Periodic and unbounded motions in asymmetric oscillators at resonance

Cites Work

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• Boundedness in a Piecewise Linear Oscillator and a Variant of the Small Twist Theorem
• Asymmetric Oscillators and Twist Mappings
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