We show that a global continuation result for $T$-periodic solutions of delay differential equations on manifolds proved by the authors in a previous paper still holds when the period $T$ is smaller than the delay. As an application we get an existence result for fast forced oscillations of motion problems with delay on compact, topologically nontrivial, manifolds.
Fast Forced Oscillations for Constrained Motion Problems with Delay / P. Benevieri; A. Calamai; M. Furi; M.P. Pera. - In: COMMUNICATIONS IN APPLIED ANALYSIS. - ISSN 1083-2564. - STAMPA. - 13:(2009), pp. 497-508.
Fast Forced Oscillations for Constrained Motion Problems with Delay
BENEVIERI, PIERLUIGI;FURI, MASSIMO;PERA, MARIA PATRIZIA
2009
Abstract
We show that a global continuation result for $T$-periodic solutions of delay differential equations on manifolds proved by the authors in a previous paper still holds when the period $T$ is smaller than the delay. As an application we get an existence result for fast forced oscillations of motion problems with delay on compact, topologically nontrivial, manifolds.
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