Periodic perturbations of a class of scalar second order functional differential equations

2022/05/25 by Calamai, Alessandro, Pera, Maria Patrizia, Spadini, Marco
#34C25 #34K13 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.2205.12758

Abstract

We study, by means of a topological approach, the forced oscillations of second order functional retarded differential equations subject to periodic perturbations. We consider a delay-type functional dependence involving a gamma probability distribution. By a linear chain trick we obtain a first order system of ODE's whose T-periodic solutions correspond to those of the functional equation.

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