Construction of quasi-periodic solutions for delayed perturbation differential equations

2018/12/14 by Xiaolong He, Xiaoping Yuan, He, Xiaolong +1
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #math.DS

paper · pdf · doi:10.48550/arxiv.1812.05969

28 pages

arxiv created 2018/12/14 · arxiv updated 2018/12/17

Abstract

We employ the Craig-Wayne-Bourgain method to construct quasi-periodic solutions for delayed perturbation differential equations. Our results not only implement the existing literatures on constructing quasi-periodic solutions for DDE by the KAM method and space splitting technique, but also provide an example of application of multi-scale analysis method to non-selfadjoint problem.

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