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

doi:10.1016/S0252-9602(15)30041-2

数学物理学报(英文版) ›› 2015, Vol. 35 ›› Issue (5): 1077-1094.doi: 10.1016/S0252-9602(15)30041-2

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

郭承军¹, Donal O'REGAN^2,3, 徐远通⁴, Ravi P. AGARWAL^5,6

1. School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510006, China;
2. School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland;
3. Nonlinear Analysis and Applied Mathematics(NAAM)-Research Group, Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia;
4. Department of Mathematics, Sun Yat-sen University, Guangzhou 510275, China;
5. Department of Mathematics, Texas A and M University-Kingsville, Texas 78363, USA;
6. Nonlinear Analysis and Applied Mathematics(NAAM)-Research Group, Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia

收稿日期:2014-01-13 修回日期:2014-10-29 出版日期:2015-09-01 发布日期:2015-09-01
作者简介:Chengjun GUO, E-mail: guochj817@163.com; Donal O'REGAN, E-mail: donal.oregan@nuigalway.ie; Yuantong XU, E-mail: xyt@mail.sysu.edu.cn; Ravi P. AGARWAL, E-mail: agarwal@tamuk.edu
基金资助:
This project is supported by National Natural Science Foundation of China (51275094), by High-Level Personnel Project of Guangdong Province (2014011) and by China Postdoctoral Science Foundation (20110490893).

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

Chengjun GUO¹, Donal O'REGAN^2,3, Yuantong XU⁴, Ravi P. AGARWAL^5,6

1. School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510006, China;
2. School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland;
3. Nonlinear Analysis and Applied Mathematics(NAAM)-Research Group, Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia;
4. Department of Mathematics, Sun Yat-sen University, Guangzhou 510275, China;
5. Department of Mathematics, Texas A and M University-Kingsville, Texas 78363, USA;
6. Nonlinear Analysis and Applied Mathematics(NAAM)-Research Group, Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia

Received:2014-01-13 Revised:2014-10-29 Online:2015-09-01 Published:2015-09-01
Supported by:
This project is supported by National Natural Science Foundation of China (51275094), by High-Level Personnel Project of Guangdong Province (2014011) and by China Postdoctoral Science Foundation (20110490893).

摘要/Abstract

摘要：

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

关键词: homoclinic solutions, differential difference equation, critical point theory

Abstract:

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

Key words: homoclinic solutions, differential difference equation, critical point theory

中图分类号:

34K13

郭承军, Donal O'REGAN, 徐远通, Ravi P. AGARWAL. EXISTENCE OF HOMOCLINIC ORBITS FOR A CLASS OF FIRST-ORDER DIFFERENTIAL DIFFERENCE EQUATIONS[J]. 数学物理学报(英文版), 2015, 35(5): 1077-1094.

Chengjun GUO, Donal O'REGAN, Yuantong XU, Ravi P. AGARWAL. EXISTENCE OF HOMOCLINIC ORBITS FOR A CLASS OF FIRST-ORDER DIFFERENTIAL DIFFERENCE EQUATIONS[J]. Acta mathematica scientia,Series B, 2015, 35(5): 1077-1094.

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

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

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