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

• 论文 • 上一篇    下一篇

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

郭承军1, Donal O'REGAN2,3, 徐远通4, Ravi P. AGARWAL5,6   

  1. 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'REGAN2,3, Yuantong XU4, Ravi P. AGARWAL5,6   

  1. 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:

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