Existence of periodic solutions of a generalized friction oscillator

DOI10.1016/J.NONRWA.2009.11.024zbMath1206.34058OpenAlexW2083670272MaRDI QIDQ708482

Ru Yun Ma

Publication date: 14 October 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2009.11.024

zbMATH Keywords

periodic solutionsdifferential inclusiondry frictiontopological degree

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Ordinary differential inclusions (34A60) Applications of operator theory to differential and integral equations (47N20)

Related Items (3)

Oscillating global continua of positive solutions of second order Neumann problem with a set-valued term ⋮ Harmonic solutions of a dry friction system ⋮ Transversality conditions for the existence of solutions of first-order discontinuous functional differential equations

Cites Work

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• Periodic solutions of dry friction problems
• Resonance and Coulomb friction
• Global solutions for quasilinear parabolic systems.
• Periodic solutions of non-smooth friction oscillators
• On a scalar equation with discontinuous right-hand side and the uniqueness theorem
• Global existence of solutions for perturbed differential equations
• A remark on the existence interval of the solution of the Cauchy problem
• Behavior of a single-degree-of-freedom system with a generalized friction law

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