Functions with average and bounded motions of a forced discontinuous oscillator

DOI10.1007/S10884-017-9595-1zbMath1443.34020OpenAlexW2620244557MaRDI QIDQ2318452

Rafael Ortega, Ricardo Roque Enguiça

Publication date: 15 August 2019

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

Full work available at URL: https://doi.org/10.1007/s10884-017-9595-1

zbMATH Keywords

generating functionsLandesman-Lazer conditionforced oscillatortwist mapsfunctions with average

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Growth and boundedness of solutions to ordinary differential equations (34C11) Discontinuous ordinary differential equations (34A36) Nonautonomous smooth dynamical systems (37C60)

Related Items (2)

Invariant tori and boundedness of solutions of non-smooth oscillators with Lebesgue-integrable forcing term ⋮ Chaos in a Periodically Perturbed Second-Order Equation with Signum Nonlinearity

Cites Work

• Unnamed Item
• Complete guiding sets for a class of almost-periodic differential equations
• A boundedness result of Landesman-Lazer type
• Bounded solutions for a forced bounded oscillator without friction
• Almost periodic linear differential equations with non-separated solutions
• Bounded Solutions of Some Second Order Nonlinear Differential Equations
• Resonance and non-resonance in a problem of boundedness
• Twist Mappings with Non-Periodic Angles
• A Nonstandard Resonance Problem for Ordinary Differential Equations

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