Articles

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

  • Chengjun GUO
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  • 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 date: 2014-01-13

  Revised date: 2014-10-29

  Online 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).

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.

Cite this article

Chengjun GUO . EXISTENCE OF HOMOCLINIC ORBITS FOR A CLASS OF FIRST-ORDER DIFFERENTIAL DIFFERENCE EQUATIONS[J]. Acta mathematica scientia, Series B, 2015 , 35(5) : 1077 -1094 . DOI: 10.1016/S0252-9602(15)30041-2

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