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.

引用

页码：312 / 317

页数：6

共 50 条

[41] Existence and stability of nonlinear functional differential equations
Sengadir, T
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 197 (03) : 890 - 907
[42] Existence, number, and stability of limit cycles in weakly dissipative, strongly nonlinear oscillators
Bonnin, Michele
NONLINEAR DYNAMICS, 2010, 62 (1-2) : 321 - 332
[43] Existence and Uniqueness of Homoclinic Solution for a Class of Nonlinear Second-Order Differential Equations
Chen, Lijuan
Lu, Shiping
JOURNAL OF APPLIED MATHEMATICS, 2012,
[44] The existence of a positive solution for nonlinear fractional differential equations with integral boundary value conditions
Cabada, Alberto
Dimitrijevic, Sladjana
Tomovic, Tatjana
Aleksic, Suzana
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (06) : 1880 - 1891
[45] Existence, number, and stability of limit cycles in weakly dissipative, strongly nonlinear oscillators
Michele Bonnin
Nonlinear Dynamics, 2010, 62 : 321 - 332
[46] Existence and Uniqueness of Periodic Solution for Nonlinear Second-Order Ordinary Differential Equations
Jian Zu
Boundary Value Problems, 2011
[47] Existence and Uniqueness of Periodic Solution for Nonlinear Second-Order Ordinary Differential Equations
Zu, Jian
BOUNDARY VALUE PROBLEMS, 2011,
[48] Existence of Solution for Impulsive Differential Equations with Nonlinear Derivative Dependence via Variational Methods
Yan, Lizhao
Liu, Jian
Luo, Zhiguo
ABSTRACT AND APPLIED ANALYSIS, 2013,
[49] Existence of Solution for Delay Fractional Differential Equations
Jalilian, Yaghoub
Jalilian, Reza
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2013, 10 (04) : 1731 - 1747
[50] Existence and Uniqueness of the Solution of Delay Differential Equations
Mohammedal, Khalid Hammood
Ahmad, Noor Atinah
Fadhel, Fadhel Subhi
INTERNATIONAL CONFERENCE ON MATHEMATICS, ENGINEERING AND INDUSTRIAL APPLICATIONS 2016 (ICOMEIA2016), 2016, 1775

← 1 2 3 4 5 →