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

被引：0

作者：

Arsie, Alessandro ^{[1
]}

Samarawickrama-Kuruppuge, Paduma ^{[1
]}

机构：

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2019年 / 477卷 / 01期

关键词：

Generalized Floquet theory; Delay differential equations; Holomorphic transformations;

D O I：

10.1016/j.jmaa.2019.04.048

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：576 / 591

页数：16

共 50 条

[1] ON THE REDUCIBILITY OF LINEAR-DIFFERENTIAL EQUATIONS WITH QUASI-PERIODIC COEFFICIENTS
JORBA, A
SIMO, C
JOURNAL OF DIFFERENTIAL EQUATIONS, 1992, 98 (01) : 111 - 124
[2] Analytic families of reducible linear quasi-periodic differential equations
Puig, J
Simó, C
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2006, 26 : 481 - 524
[3] REDUCIBILITY OF SLOW QUASI-PERIODIC LINEAR SYSTEMS
Wu, Jian
You, Jiangong
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2013, 141 (09) : 3147 - 3155
[4] SMOOTHNESS OF SPECTRAL SUBBUNDLES AND REDUCIBILITY OF QUASI-PERIODIC LINEAR-DIFFERENTIAL SYSTEMS
JOHNSON, RA
SELL, GR
JOURNAL OF DIFFERENTIAL EQUATIONS, 1981, 41 (02) : 262 - 288
[5] ON THE REDUCIBILITY OF ANALYTIC QUASI-PERIODIC SYSTEMS WITH LIOUVILLEAN BASIC FREQUENCIES
Zhang, Dongfeng
Xu, Junxiang
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2022, 21 (04) : 1417 - 1445
[6] Embedding of Analytic Quasi-Periodic Cocycles into Analytic Quasi-Periodic Linear Systems and its Applications
You, Jiangong
Zhou, Qi
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2013, 323 (03) : 975 - 1005
[7] Embedding of Analytic Quasi-Periodic Cocycles into Analytic Quasi-Periodic Linear Systems and its Applications
Jiangong You
Qi Zhou
Communications in Mathematical Physics, 2013, 323 : 975 - 1005
[8] Almost reducibility and non-perturbative reducibility of quasi-periodic linear systems
Hou, Xuanji
You, Jiangong
INVENTIONES MATHEMATICAE, 2012, 190 (01) : 209 - 260
[9] Almost reducibility and non-perturbative reducibility of quasi-periodic linear systems
Xuanji Hou
Jiangong You
Inventiones mathematicae, 2012, 190 : 209 - 260
[10] Reducibility of ultra-differentiable quasi-periodic linear systems
Zhang, Xiangyuan
Zhang, Dongfeng
MATHEMATISCHE NACHRICHTEN, 2025,

← 1 2 3 4 5 →