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.

Periodic perturbations of reducible scalar second order functional differential equations / Calamai, A; Pera, Mp; Spadini, M. - In: ELECTRONIC JOURNAL ON THE QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS. - ISSN 1417-3875. - ELETTRONICO. - 2023:18(2023), pp. 1-23. [10.14232/ejqtde.2023.1.18]

Periodic perturbations of reducible scalar second order functional differential equations

Calamai, A
;
Pera, MP;Spadini, M
2023-01-01

Abstract

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.
2023
functional differential equations; branches of periodic solutions; linear chain trick; Brouwer degree
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11566/324654
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