Periodic Perturbations of a Class of Functional Differential Equations

Periodic Perturbations of a Class of Functional Differential Equations

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 b...

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Veröffentlicht in:Journal of dynamics and differential equations 2022-03, Vol.34 (1), p.535-553
1. Verfasser: Spadini, Marco
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Differential equations
Functional equations
Mathematical analysis
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Periodic variations
Perturbation
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Beschreibung
Zusammenfassung: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.
ISSN:1040-7294
1572-9222
DOI:10.1007/s10884-020-09928-2