On the reducibility of systems of analytic quasi-periodic linear functional differential equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:477

Article

Arsie, Alessandro¹  Samarawickrama-Kuruppuge, Paduma¹ 

[1] Univ Toledo, Dept Math & Stat, 2801 W Bancroft St, Toledo, OH 43606 USA

关键词: Generalized Floquet theory;    Delay differential equations;    Holomorphic transformations;   

DOI  :  10.1016/j.jmaa.2019.04.048

来源: Elsevier

【 摘 要 】

We address the problem of the asymptotic reducibility of a system of analytic quasi-periodic linear functional differential equations extending the results of M.S. Bortei and V.I. Fodchuk [3] to the case of (possibly) complex eigenvalues. At the same time, we provide a simpler proof of the asymptotic reducibility that bypasses the method of accelerated convergence and it is instead based on more transparent KAM-type estimates. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free