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.
PERIODIC PERTURBATIONS OF A CLASS OF FUNCTIONAL DIFFERENTIAL EQUATIONS / Spadini Marco. - In: JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS. - ISSN 1040-7294. - STAMPA. - 34:(2022), pp. 535-553. [10.1007/s10884-020-09928-2]
PERIODIC PERTURBATIONS OF A CLASS OF FUNCTIONAL DIFFERENTIAL EQUATIONS
Spadini Marco
2022
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.
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