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Periodic perturbations of reducible scalar second order functional differential equations

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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… Click to show full 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.

Keywords: equations periodic; order functional; periodic perturbations; second order; differential equations; order

Journal Title: Electronic Journal of Qualitative Theory of Differential Equations
Year Published: 2023

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