A Continuation Result for Forced Oscillations of Constrained Motion Problems with Infinite Delay

DOI10.1515/ans-2013-0201zbMath1282.34072arXiv0903.1248OpenAlexW1649586934MaRDI QIDQ5298994

Pierluigi Benevieri, Alessandro Calamai, Massimo Furi, Maria Patrizia Pera

Publication date: 25 June 2013

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.1248

zbMATH Keywords

periodic solutionsfixed point index theoryretarded functional differential equationsmotion problems on manifolds

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Periodic solutions to functional-differential equations (34K13) Ordinary differential equations and systems on manifolds (34C40)

Related Items (2)

On the existence of forced oscillations for the spherical pendulum acted on by a retarded periodic force ⋮ Global continuation of forced oscillations of retarded motion equations on manifolds

Cites Work

• A continuation principle for periodic solutions of forced motion equations on manifolds and applications to bifurcation theory
• Periodic solutions of some nonlinear autonomous functional differential equations
• The fixed point index for local condensing maps
• Retarded Functional Differential Equations on Manifolds and Applications to Motion Problems for Forced Constrained Systems
• The Leray-Schauder index and the fixed point theory for arbitrary ANRs

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