We prove a global bifurcation result for T-periodic solutions of the T-periodic delay differential equation x'(t)=λf(t,x(t),x(t−1)) depending on a non-negative real parameter. The approach is based on the fixed point index theory for maps on ANRs.
Global Branches of Periodic Solutions for Forced Delay Differential Equations on Compact Manifolds / P. Benevieri; A. Calamai; M. Furi; M.P. Pera. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - STAMPA. - 233:(2007), pp. 404-416. [10.1016/j.jde.2006.10.001]
Global Branches of Periodic Solutions for Forced Delay Differential Equations on Compact Manifolds
BENEVIERI, PIERLUIGI;FURI, MASSIMO;PERA, MARIA PATRIZIA
2007
Abstract
We prove a global bifurcation result for T-periodic solutions of the T-periodic delay differential equation x'(t)=λf(t,x(t),x(t−1)) depending on a non-negative real parameter. The approach is based on the fixed point index theory for maps on ANRs.
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