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

[21] MOMENT BEHAVIOR OF SOLUTION PROCESSES FOR STRONGLY NONLINEAR STOCHASTIC DIFFERENTIAL EQUATIONS.
Morita, Yoji
Sugiyama, Hiroshi
Technology Reports of the Osaka University, 1980, 30 (1517-1550): : 21 - 28
[22] Existence and stability of solution for time-delayed nonlinear fractional differential equations
Geremew Kebede, Shiferaw
Guezane Lakoud, Assia
APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING, 2024, 32 (01):
[23] Existence and stability of a positive solution for nonlinear hybrid fractional differential equations with singularity
Al-Sadi, Wadhah
Huang Zhenyou
Alkhazzan, Abdulwasea
JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE, 2019, 13 (01): : 951 - 960
[24] EXISTENCE OF SOLUTION TO NONLINEAR SECOND ORDER NEUTRAL STOCHASTIC DIFFERENTIAL EQUATIONS WITH DELAY
Yong Li (Dept. of Math. and Computer
)
Annals of Applied Mathematics, 2010, (02) : 181 - 189
[25] The existence of a positive solution for a singular coupled system of nonlinear fractional differential equations
Bai, CZ
Fang, JX
APPLIED MATHEMATICS AND COMPUTATION, 2004, 150 (03) : 611 - 621
[26] NEW EXISTENCE RESULTS OF POSITIVE SOLUTION FOR A CLASS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS
Li, Nan
Wang, Changyou
ACTA MATHEMATICA SCIENTIA, 2013, 33 (03) : 847 - 854
[27] EXISTENCE OF SOLUTION TO NONLINEAR SECOND ORDER NEUTRAL STOCHASTIC DIFFERENTIAL EQUATIONS WITH DELAY
Yong Li Dept of Math and Computer Chongqing Normal University Chongqing
不详
Annals of Differential Equations, 2010, 26 (02) : 181 - 189
[28] THE EXISTENCE AND PROPERTIES OF THE SOLUTION OF A CLASS OF NONLINEAR DIFFERENTIAL EQUATIONS WITH SWITCHING AT VARIABLE TIMES
Li, Huanting
Peng, Yunfei
Wu, Kuilin
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2022, 27 (10): : 5631 - 5652
[29] NEW EXISTENCE RESULTS OF POSITIVE SOLUTION FOR A CLASS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS
李楠
王长有
ActaMathematicaScientia, 2013, 33 (03) : 847 - 854
[30] Existence and uniqueness of solution to nonlinear second-order distributional differential equations
Chen, Feng
Ye, Guoju
Liu, Wei
Zhao, Dafang
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2020, 49 (01): : 170 - 179

← 1 2 3 4 5 →