Periodic perturbations of reducible scalar second order functional differential equations

Using a topological approach we investigate the structure of the set of forced oscillations of a class of reducible second order functional retarded differential equations subject to periodic forcing. More precisely, we consider a delay-type functional dependence involving a gamma probability distribution and, using a linear chain trick, we formulate a first order system of ODEs whose T-periodic solutions correspond to those of the functional equation.

Automated summary

In this paper, the structure of the set of forced oscillations of a reducible second order functional delayed differential equation with periodic forcing is investigated using a topological approach. Specifically, a delay-type functional dependence involving a gamma probability distribution is considered, and a first order system of ODEs is formulated using a linear chain trick, with its T-periodic solutions corresponding to those of the functional equation.