JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2015, Vol. 50 ›› Issue (05): 51-54.doi: 10.6040/j.issn.1671-9352.0.2014.241

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Multiple homoclinic solutions for second order nonlinear difference equations

SUN Guo-wei, MAI A-li   

  1. Department of Applied Mathematics, Yuncheng University, Yuncheng 044000, Shanxi, China
  • Received:2014-05-26 Online:2015-05-20 Published:2015-05-29

Abstract: We study the existence of homoclinic solutions for a class of second order nonlinear difference equations. Under more general superlinear conditions, we prove the multiplicity results of the equations by using critical point theory.

Key words: difference equations, Nehari manifold, critical point theory, homoclinic solutions

CLC Number: 

  • O175.1
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