Periodic perturbations of reducible scalar second order functional differential equations

Author:

Calamai Alessandro1ORCID,Pera Maria Patrizia2ORCID,Spadini Marco2ORCID

Affiliation:

1. Università Politecnica delle Marche

2. Università degli Studi di Firenze

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.

Publisher

University of Szeged

Subject

Applied Mathematics

Reference43 articles.

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