Multiple solutions for periodic perturbations of a delayed autonomous system near an equilibrium

DOI10.3934/cpaa.2019080zbMath1421.34045arXiv1804.05616OpenAlexW2963091743WikidataQ128454202 ScholiaQ128454202MaRDI QIDQ2415178

Gonzalo Robledo, Mariel Paula Kuna, Pablo Amster

Publication date: 20 May 2019

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.05616

zbMATH Keywords

fixed pointstopological degreemultiple periodic solutionsdelay differential systemsEuler-Poincaré-characteristic

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Degree theory for nonlinear operators (47H11) Periodic solutions to functional-differential equations (34K13)

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Hartman and Nirenberg type results for systems of delay differential equations under \((\omega, Q)\)-periodic conditions ⋮ Periodic oscillations in electrostatic actuators under time delayed feedback controller ⋮ Persistence and periodic solutions in systems of delay differential equations

Cites Work

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• Topological Degree and Stability of Periodic Solutions for Certain Differential Equations
• The Operator of Translation Along the Trajectories of Differential Equations
• An Infinite Dimensional Version of Sard's Theorem
• An Introduction to Delay Differential Equations with Applications to the Life Sciences

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