Periodic perturbations with delay of autonomous differential equations on manifolds

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dc.creatorFuri, Massimo
dc.creatorSpadini, Marco
dc.date2008-10-01
dc.date.accessioned2026-07-07T10:06:42Z
dc.date.available2026-07-07T10:06:42Z
dc.descriptionWe apply topological methods to the study of the set of harmonic solutions of periodically perturbed autonomous ordinary differential equations on differentiable manifolds, allowing the perturbing term to contain a fixed delay. In the crucial step, in order to cope with the delay, we define a suitable (infinite dimensional) notion of Poincaré $T$-translation operator and prove a formula that, in the unperturbed case, allows the computation of its fixed point index.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/0810.0185
dc.identifierhttp://arxiv.org/abs/0810.0185
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170414
dc.subjectDynamical Systems
dc.subjectClassical Analysis and ODEs
dc.subject34K13 (Primary) 34C25, 34K18 (Secondary)
dc.titlePeriodic perturbations with delay of autonomous differential equations on manifolds
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