HOMOCLINIC SOLUTIONS FOR A CLASS OF SECOND ORDER NEUTRAL FUNCTIONAL DIFFERENTIAL SYSTEMS

被引：0

作者：

Lu, Shiping ^{[1
,2
]}

Zheng, Liang ^{[1
]}

Chen, Lijuan ^{[1
]}

机构：

[1] Nanjing Informat Sci & Technol, Coll Math & Stat, Nanjing 210044, Jiangsu, Peoples R China

[2] Anhui Normal Univ, Dept Math, Wuhu 241003, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2013年 / 33卷 / 05期

基金：

中国国家自然科学基金;

关键词：

homoclinic solution; periodic solution; neutral functional differential system; Mawhin's continuation theorem; PERIODIC-SOLUTIONS; HAMILTONIAN-SYSTEMS; RAYLEIGH EQUATION; ORBITS; EXISTENCE; KIND;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By means of an extension of Mawhin's continuation theorem and some analysis methods, the existence of a set with 2kT-periodic solutions for a class of second order neutral functional differential systems is studied, and then the homoclinic solutions are obtained as the limit points of a certain subsequence of the above set.

引用

页码：1361 / 1374

页数：14

共 50 条

[41] On the Existence of Homoclinic Type Solutions of a Class of Inhomogenous Second Order Hamiltonian Systems
Jakub Ciesielski
Joanna Janczewska
Nils Waterstraat
Journal of Dynamics and Differential Equations, 2020, 32 : 1343 - 1356
[42] On the Existence of Homoclinic Type Solutions of a Class of Inhomogenous Second Order Hamiltonian Systems
Ciesielski, Jakub
Janczewska, Joanna
Waterstraat, Nils
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2020, 32 (03) : 1343 - 1356
[43] Infinitely many homoclinic solutions for a class of second-order Hamiltonian systems
Chen, Huiwen
He, Zhimin
ADVANCES IN DIFFERENCE EQUATIONS, 2014,
[44] Homoclinic solutions for a class of non-periodic second order Hamiltonian systems
Ding, Jian
Xu, Junxiang
Zhang, Fubao
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2010, (31) : 1 - 11
[45] Multibump homoclinic solutions for a class of second order, almost periodic Hamiltonian systems
V. Coti Zelati
P. Montecchiari
M. Nolasco
Nonlinear Differential Equations and Applications NoDEA, 1997, 4 : 77 - 99
[46] HOMOCLINIC SOLUTIONS FOR A CLASS OF AUTONOMOUS SECOND ORDER HAMILTONIAN SYSTEMS WITH A SUPERQUADRATIC POTENTIAL
Janczewska, Joanna
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2010, 36 (01) : 19 - 26
[47] The Existence of Homoclinic Solutions for Second Order Differential Equation
Gao, Jie
MECHANICAL ENGINEERING AND INTELLIGENT SYSTEMS, PTS 1 AND 2, 2012, 195-196 : 728 - 731
[48] Periodic Solutions of a Class of Second Order Functional Differential Equations
Zheng Qiu Zhang
Zhi Cheng Wang
Acta Mathematica Sinica, 2005, 21 : 95 - 108
[49] Periodic solutions of a class of second order functional differential equations
Zhang, ZQ
Wang, ZC
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2005, 21 (01) : 95 - 108
[50] Periodic Solutions of a Class of Second Order Functional Differential Equations
Zheng Qiu ZHANG Zhi Cheng WANG Department of Applied Mathematics
ActaMathematicaSinica(EnglishSeries), 2005, 21 (01) : 95 - 108

← 1 2 3 4 5 →