Periodic perturbations with delay of coupled differential equations on manifolds with application to a sunflower-like equation

2014/11/18 by Luca Bisconti, Bisconti, Luca, Marco Spadini +1
Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA

paper · pdf · doi:10.48550/arxiv.1411.4818

arxiv created 2014/11/18 · arxiv updated 2014/11/19

Abstract

We investigate the structure of the set of T-periodic solutions to periodically perturbed coupled delay differential equations on differentiable manifolds. By using fixed point index and degree-theoretic methods we prove the existence of branches of T-periodic solutions to the considered equations. As main application of our methods, we study a generalized version of the sunflower equation.

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