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Periodic Perturbations of a Class of Functional Differential Equations
Journal of Dynamics and Differential Equations ( IF 1.3 ) Pub Date : 2021-01-25 , DOI: 10.1007/s10884-020-09928-2
Marco Spadini

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.



中文翻译:

一类泛函微分方程的周期摄动

我们研究了可微流形上一类特殊的泛函微分方程的T周期摄动的周期解的相连“分支”的存在。我们的结果是通过度理论方法和允许将函数方程的有界解与合适的常微分方程的有界解相关联的技术获得的。

更新日期:2021-01-25
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