Bounded solutions for a forced bounded oscillator without friction

DOI10.1016/j.jde.2014.01.015zbMath1294.34042arXiv1306.0797OpenAlexW2008433738MaRDI QIDQ2438112

Nicola Soave, Gianmaria Verzini

Publication date: 10 March 2014

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

Full work available at URL: https://arxiv.org/abs/1306.0797

zbMATH Keywords

critical point theoryLandesman-Lazer conditionsAmbrosetti-Prodi problemssubharmonic solutions to periodic ODEs

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25) Existence of solutions for minimax problems (49J35) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Growth and boundedness of solutions to ordinary differential equations (34C11)

Related Items (5)

Prevalence of stable periodic solutions for Duffing equations ⋮ Oscillating solutions for nonlinear Helmholtz equations ⋮ A dynamical approach to lower and upper solutions for planar systems. ``To the memory of Massimo Tarallo ⋮ Functions with average and bounded motions of a forced discontinuous oscillator ⋮ Positive solutions with a complex behavior for superlinear indefinite ODEs on the real line

Cites Work

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• A boundedness result of Landesman-Lazer type
• On Schauder's fixed point theorem and forced second-order nonlinear oscillations
• Subharmonic Solutions of Conservative Systems with Nonconvex Potentials
• Bounded Solutions of Some Second Order Nonlinear Differential Equations
• Bounded solutions to superlinear ODEs: a variational approach
• Oscillating solutions to second-order ODEs with indefinite superlinear nonlinearities
• A variational method for the existence of bounded solutions of a sublinear forced oscillator
• Resonance and non-resonance in a problem of boundedness
• A Nonstandard Resonance Problem for Ordinary Differential Equations

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