The Existence of Response Solution for Strongly Dissipative Nonlinear Differential Equations

被引：0
|
作者：
Zhang, Xinli [1 ,2 ]
机构：
[1] Qingdao Univ Sci & Technol, Sch Math & Phys, Qingdao 266061, Peoples R China
[2] Ocean Univ China, Sch Math Sci, Qingdao 266100, Peoples R China
来源：
2017 6TH DATA DRIVEN CONTROL AND LEARNING SYSTEMS (DDCLS) | 2017年
基金：
中国国家自然科学基金;
关键词：
Response solution; Renormalizaion Group; Multiscale techniques; Bryuno conditions; Dissipative systems; Diagrammatic Formalism; CONSTRUCTION;
D O I：
暂无
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
A kind of nonlinear equation with dissipative term is an element of x + x = is an element of F(omega t,x), with omega is an element of R-d and d is an element of N, is considered in this paper. Here function F is real analytic. Based on the Renormalizaion Group techniques and Multiscale techniques, the existence of quasi-periodic solutions have been proved for the above-mentioned equation. This generalizes the known results in the existing literatures.
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页码：312 / 317
页数：6
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