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Periodic Perturbations of a Class of Functional Differential Equations

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We study the existence of a connected “branch” of periodic solutions of T -periodic perturbations of a particular class of functional differential equations on differentiable manifolds. Our result is obtained… Click to show full abstract

We study the existence of a connected “branch” of periodic solutions of T -periodic perturbations of a particular class of functional differential equations on differentiable manifolds. Our result is obtained by a combination of degree-theoretic methods and a technique that allows to associate the bounded solutions of the functional equation to bounded solutions of a suitable ordinary differential equation.

Keywords: functional differential; class functional; equations periodic; differential equations; periodic perturbations

Journal Title: Journal of Dynamics and Differential Equations
Year Published: 2021

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