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- Title
Periodic perturbations of reducible scalar second order functional differential equations.
- Authors
Calamai, Alessandro; Pera, Maria Patrizia; Spadini, Marco
- 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.
- Subjects
DISTRIBUTION (Probability theory); FUNCTIONAL equations; GAMMA distributions; FUNCTIONAL differential equations
- Publication
Electronic Journal of Qualitative Theory of Differential Equations, 2023, p1
- ISSN
1417-3875
- Publication type
Article
- DOI
10.14232/ejqtde.2023.1.18