On forced fast oscillations for delay differential equations on compact manifolds |
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| Authors: | Pierluigi Benevieri Maria Patrizia Pera |
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| Affiliation: | a Dipartimento di Matematica Applicata “Giovanni Sansone”, Università degli Studi di Firenze, Via S. Marta 3, I-50139 Firenze, Italy
b Dipartimento di Scienze Matematiche, Università Politecnica delle Marche, Via Brecce Bianche, I-60131 Ancona, Italy |
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| Abstract: | We prove an existence result for forced oscillations of delay differential equations on compact manifolds with nonzero Euler-Poincaré characteristic. When the period is smaller than the delay we need the asymptotic fixed point index theory for C1 maps due to Eells and Fournier, and Nussbaum. |
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