Construction of quasi-periodic solutions for delayed perturbation differential equations

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...

Full description

Saved in:
Bibliographic Details
Published inJournal of Differential Equations Vol. 268; no. 12; pp. 8026 - 8061
Main Authors He, Xiaolong, Yuan, Xiaoping
Format Journal Article
LanguageEnglish
Published Elsevier Inc 05.06.2020
Subjects
CWB method
Lattice
Multi-scale analysis
Quasi-periodic
Small divisor
Time delay
Multi-scale analysis
CWB method
34K06
34K17
Small divisor
34K27
Quasi-periodic
Time delay
34K10
Lattice
Online AccessGet full text

Cover

More Information
Summary: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.
ISSN:0022-0396
1090-2732
DOI:10.1016/j.jde.2019.11.093