We prove an existence result for forced oscillations of delay differential equations on compact manifolds with nonzero Euler-Poincar'e 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.
Forced oscillations for delay motion equations on manifolds / P. Benevieri; A. Calamai; M. Furi; M.P. Pera. - In: ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 1072-6691. - ELETTRONICO. - 2007 (n. 62):(2007), pp. 0-0.
Forced oscillations for delay motion equations on manifolds
BENEVIERI, PIERLUIGI;FURI, MASSIMO;PERA, MARIA PATRIZIA
2007
Abstract
We prove an existence result for forced oscillations of delay differential equations on compact manifolds with nonzero Euler-Poincar'e 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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