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 C^1 maps due to Eells-Fournier and Nussbaum.
On Forced Fast Oscillations for Delay Differential Equations on Compact Manifolds / P. Benevieri; A. Calamai; M. Furi; M.P. Pera. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - STAMPA. - 246:(2009), pp. 1354-1362. [10.1016/j.jde.2008.11.005]
On Forced Fast Oscillations for Delay Differential Equations on Compact Manifolds
BENEVIERI, PIERLUIGI;FURI, MASSIMO;PERA, MARIA PATRIZIA
2009
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 C^1 maps due to Eells-Fournier and Nussbaum.
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