Unbounded motions in forced Newtonian equations

DOI10.1007/S10231-004-0144-2zbMath1103.34042OpenAlexW2040495615MaRDI QIDQ2504898

Rafael Ortega

Publication date: 1 February 2007

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-004-0144-2

zbMATH Keywords

perturbationunbounded solutiongeneric solution

Mathematics Subject Classification ID

Perturbations of ordinary differential equations (34D10) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) (n)-body problems (70F10)

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Cites Work

• Unnamed Item
• On Littlewood’s boundedness problem for sublinear Duffing equations
• A case of boundedness in Littlewood's problem on oscillatory differential equations
• The number of stable periodic solutions of time-dependent Hamiltonian systems with one degree of freedom
• Existence of quasiperiodic solutions and Littlewood’s boundedness problem of Duffing equations with subquadratic potentials
• Bounded solutions to superlinear ODEs: a variational approach
• A variational method for the existence of bounded solutions of a sublinear forced oscillator
• Boundedness of Solutions for Quasiperiodic Potentials
• Unbounded Solutions of ÿ + g(y) = p{t)

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