Periodic solutions of discontinuous second order differential systems

DOI10.5427/JSING.2014.10LzbMath1316.34044OpenAlexW2317007870MaRDI QIDQ2941109

Marco Antonio Teixeira, Jaume Llibre

Publication date: 22 January 2015

Published in: Journal of Singularities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5427/jsing.2014.10l

zbMATH Keywords

periodic solutionsautonomous discotinuous second order differential equationsnon-autonomous discontinous second-order differential equations

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Degree theory for nonlinear operators (47H11) Averaging method for ordinary differential equations (34C29) Discontinuous ordinary differential equations (34A36)

Related Items (7)

On uniqueness and properties of periodic solution of second-order nonautonomous system with discontinuous nonlinearity ⋮ Periodic solutions of a system of differential equations with hysteresis nonlinearity in the presence of eigenvalue zero ⋮ On solutions of a boundary value problem for a second-order differential equation with a parameter and discontinuous right-hand side ⋮ On one type of oscillating solutions of a second-order ordinary differential equation with a three-position hysteresis relay and a perturbation ⋮ Approximation to the Sturm-Liouville problem with a discontinuous nonlinearity ⋮ On Solutions of the One-Dimensional Goldshtik Problem ⋮ Existence of periodic modes in automatic control system with a three-position relay

Cites Work

• On the application of KAM theory to discontinuous dynamical systems
• Periodic solutions for second order differential equations with discontinuous restoring forces.
• Averaging methods for finding periodic orbits via Brouwer degree.
• Fixed point theory and nonlinear problems

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