Existence Result for Discrete Problems with Dependence on the First Order Difference
Received:June 20, 2007  Revised:November 22, 2007
Key Words: existence result   the first order difference   Mountain Pass Lemma   iterative technique.  
Fund Project:the National Natural Science Foundation of China (No.60574075); Innovation Program of Shanghai Municipal Education Commissiion (No.08YZ93) and Shanghai Leading Academic Discipline Project (No.S30501).
Author NameAffiliation
ZHANG Guo Qing College of Sciences, University of Shanghai for Science and Technology, Shanghai 200093, China 
LIU San Yang College of Sciences, Xidian University, Shaanxi 710071, China 
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      In this paper, we prove the existence of a positive solution and a negative solution for a class of second order difference equations with dependence on the first order difference. Our proofs are based on the Mountain Pass Lemma and iterative methods.
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