EXISTENCE OF HOMOCLINIC ORBITS FOR A CLASS OF FIRST-ORDER DIFFERENTIAL DIFFERENCE EQUATIONS

被引：7

作者：

Guo, Chengjun ^{[1
]}

O'Regan, Donal ^{[2
,3
]}

Xu, Yuantong ^{[4
]}

Agarwal, Ravi P. ^{[3
,5
]}

机构：

[1] Guangdong Univ Technol, Sch Appl Math, Guangzhou 510006, Guangdong, Peoples R China

[2] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland

[3] King Abdulaziz Univ, Dept Math, NAAM Res Grp, Jeddah 21413, Saudi Arabia

[4] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China

[5] Texas A&M Univ, Dept Math, Kingsville, TX 78363 USA

来源：

ACTA MATHEMATICA SCIENTIA | 2015年 / 35卷 / 05期

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

homoclinic solutions; differential difference equation; critical point theory; HAMILTONIAN-SYSTEMS;

D O I：

10.1016/S0252-9602(15)30041-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article we consider via critical point theory the existence of homoclinic orbits of the first-order differential difference equation (z) over dot(t) + B(t)z(t) + f (t, z(t + tau), z(t), z(t - tau)) = 0.

引用

页码：1077 / 1094

页数：18

共 50 条

[1] EXISTENCE OF HOMOCLINIC ORBITS FOR A CLASS OF FIRST-ORDER DIFFERENTIAL DIFFERENCE EQUATIONS
郭承军
Donal OREGAN
徐远通
Ravi PAGARWAL
[J]. Acta Mathematica Scientia(English Series)., 2015, 35 (05) - 1094
[2] EXISTENCE OF HOMOCLINIC ORBITS FOR A CLASS OF FIRST-ORDER DIFFERENTIAL DIFFERENCE EQUATIONS
郭承军
Donal O’REGAN
徐远通
Ravi P.AGARWAL
[J]. Acta Mathematica Scientia, 2015, (05) : 1077 - 1094
[3] THE EXISTENCE OF HOMOCLINIC ORBITS FOR A CLASS OF FIRST-ORDER SUPERQUADRATIC HAMILTONIAN SYSTEMS
Guo, Chengjun
Agarwal, Ravi P.
Wang, Chengjiang
O'Regan, Donal
[J]. MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2014, 61 : 83 - 102
[4] EXISTENCE OF HOMOCLINIC ORBITS FOR A CLASS OF NONLINEAR FUNCTIONAL DIFFERENCE EQUATIONS
Liu, Xia
Zhou, Tao
Shi, Haiping
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2016,
[5] Existence of subharmonic solutions and homoclinic orbits for a class of even higher order differential equations
Guo, Chengjun
O'Regan, Donal
Xu, Yuantong
Agarwal, Ravi P.
[J]. APPLICABLE ANALYSIS, 2011, 90 (07) : 1169 - 1183
[6] Homoclinic orbits of a class of second-order difference equations
Zhang, Xu
Shi, Yuming
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 396 (02) : 810 - 828
[7] Existence of nontrivial homoclinic orbits for fourth-order difference equations
Fang, Hui
Zhao, Dapeng
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2009, 214 (01) : 163 - 170
[8] On the Existence of Homoclinic Orbits in Nonautonomous Second-Order Differential Equations
Ignatyev, A. O.
[J]. MATHEMATICAL NOTES, 2020, 107 (3-4) : 435 - 441
[9] On the Existence of Homoclinic Orbits in Nonautonomous Second-Order Differential Equations
A. O. Ignatyev
[J]. Mathematical Notes, 2020, 107 : 435 - 441
[10] EXISTENCE OF PERIODIC SOLUTION OF A CLASS OF FIRST ORDER DIFFERENTIAL DIFFERENCE EQUATIONS
陈永劭
[J]. Science Bulletin, 1990, (18) : 1580 - 1581

← 1 2 3 4 5 →