Boundedness of solutions of nonlinear differential equations

DOI10.1006/jdeq.1997.3355zbMath0909.34035OpenAlexW2086242128MaRDI QIDQ1265131

Bin Liu, Fabio Zanolin

Publication date: 7 April 1999

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

Full work available at URL: https://doi.org/10.1006/jdeq.1997.3355

zbMATH Keywords

boundednessnonlinear differential equationsreversible systemsKAM theoryquasiperiodic solutionssecond-order

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Growth and boundedness of solutions to ordinary differential equations (34C11)

Related Items (12)

Boundedness of solutions for reversible systems ⋮ Boundedness of solutions for nonlinear reversible system at resonance ⋮ Persistence of invariant tori for almost periodically forced reversible systems ⋮ KAM theorem for reversible mapping of low smoothness with application ⋮ Boundedness of solutions for a class of reversible systems. ⋮ Boundedness problem for solutions of semilinear asymmetric equations. ⋮ A KAM theorem for reversible systems of infinite dimension ⋮ Remarks on a class of generalized Liénard planar systems ⋮ 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 ⋮ Boundedness of solutions of some nonlinear differential equations

Cites Work

• Invariant tori and Lagrange stability of pendulum-type equations
• Reversible systems
• Boundedness for solutions of nonlinear Hill's equations with periodic forcing terms via Moser's twist theorem
• An application of KAM theorem of reversible systems
• Quasiperiodic motions in superquadratic time-periodic potentials
• Boundedness for solutions of superlinear Duffing equations via the twist theorem
• Boundedness of solutions for Duffing-type equation
• Convergent series expansions for quasi-periodic motions
• On the generalized Lienard equation with negative damping
• Stable and Random Motions in Dynamical Systems
• KAM theory for particles in periodic potentials
• Invariant curves and time-dependent potentials
• Quasi-periodic solutions of nonlinear elliptic partial differential equations
• Boundedness for solutions of nonlinear periodic differential equations via Moser's twist theorem
• A case of boundedness in Littlewood's problem on oscillatory differential equations
• Aubry-mather theorem and quasiperiodic orbits for time dependent reversible systems
• On The Existence of Periodic Solutions For Second Order Differential Equations with a Forcing Term
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