Acta mathematica scientia,Series A ›› 2016, Vol. 36 ›› Issue (6): 1145-1156.

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Fast Heteroclinic Solutions for a Difference Equation Related to Fisher-Kolmogorov's Equation

Xu Jia1, Wang Yanxia2, Dai Guowei3   

  1. 1. College of Physical Education, Northwest Normal University, Lanzhou 730070;
    2. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070;
    3. School of Mathematical Sciences, Dalian University of Technology, Liaoning Dalian 116024
  • Received:2016-03-12 Revised:2016-07-15 Online:2016-12-26 Published:2016-12-26
  • Supported by:

    Supported by the NSFC (11261052,11401477,11201378)

Abstract:

In this paper, we prove the existence of fast heteroclinic solutions for a second-order difference equation related to traveling wave solutions of Fisher-Kolmogorov's equation. By means of variational approach, the fast heteroclinic solutions are obtained as minimizers of an energy functional on a weighted Hilbert space.

Key words: Fast heteroclinic solutions, Variational method, Difference equation

CLC Number: 

  • O175.7
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