Quasiperiodic solutions and boundedness of solutions for a class of nonlinear differential equations of second order

DOI10.1016/S0362-546X(97)00430-6zbMath0894.34037MaRDI QIDQ4373351

Rong Yuan

Publication date: 16 August 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

KAM theoryboundedness of solutionsquasiperiodic solutionsreversible systemMoser's twist theoremtime-periodic second order scalar differential equation

Mathematics Subject Classification ID

Growth and boundedness of solutions to ordinary differential equations (34C11) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

Related Items (6)

Invariant tori for semilinear reversible systems. ⋮ A KAM theorem for reversible systems of infinite dimension ⋮ Boundedness of solutions for sublinear reversible systems ⋮ Boundedness of solutions for reversible system via Moser's twist theorem ⋮ Boundedness of solutions for a class of nonlinear differential equations of second order via Moser's twist theorem ⋮ On the logistic delay differential equations with piecewise constant argument and quasi-periodic time dependence

Cites Work

• Unnamed Item
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• Reversible systems
• Boundedness for solutions of nonlinear Hill's equations with periodic forcing terms via Moser's twist theorem
• Quasiperiodic motions in superquadratic time-periodic potentials
• On the generalized Lienard equation with negative damping
• Stable and Random Motions in Dynamical Systems
• Invariant curves and time-dependent potentials
• A case of boundedness in Littlewood's problem on oscillatory differential equations
• On The Existence of Periodic Solutions For Second Order Differential Equations with a Forcing Term

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