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arXiv · 2205.12758

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

Alessandro Calamai·Maria Patrizia Pera·Marco Spadini
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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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Alessandro Calamai, Maria Patrizia Pera, Marco Spadini. 2022-05-25. Periodic perturbations of a class of scalar second order functional differential equations. https://arxiv.org/abs/2205.12758

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