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

[1] HOMOCLINIC SOLUTIONS FOR A CLASS OF SECOND ORDER NEUTRAL FUNCTIONAL DIFFERENTIAL SYSTEMS
鲁世平
郑亮
陈丽娟
ActaMathematicaScientia, 2013, 33 (05) : 1361 - 1374
[2] Homoclinic solutions for a class of second-order p-Laplacian differential systems with delay
Lu, Shiping
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (01) : 780 - 788
[3] Existence of homoclinic solutions for a class of neutral functional differential equations
Lu, Shi Ping
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2012, 28 (06) : 1261 - 1274
[4] Homoclinic solutions for a class of neutral Duffing differential systems
Chen, Wenbin
ADVANCES IN DIFFERENCE EQUATIONS, 2014,
[5] Homoclinic solutions for a class of second-order Hamiltonian systems
Lv, Xiang
Lu, Shiping
Jiang, Jifa
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2012, 13 (01) : 176 - 185
[6] Homoclinic solutions for a class of second order discrete Hamiltonian systems
Tang, Xian Hua
Lin, Xiao Yan
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2012, 28 (03) : 609 - 622
[7] Homoclinic solutions for a class of second order Hamiltonian systems
Zhang, Qingye
MATHEMATISCHE NACHRICHTEN, 2015, 288 (8-9) : 1073 - 1081
[8] Homoclinic solutions for a class of subquadratic second-order Hamiltonian systems
Sun, Juntao
Chen, Haibo
Nieto, Juan J.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 373 (01) : 20 - 29
[9] Homoclinic solutions for a class of neutral Duffing differential systems
Wenbin Chen
Advances in Difference Equations, 2014
[10] Homoclinic solutions for a second-order singular differential equation
Lu, Shiping
Jia, Xuewen
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2018, 20 (03)

← 1 2 3 4 5 →