Existence Result for Discrete Problems with Dependence on the First Order Difference  

作　　者：ZHANG Guo Qing LIU San Yang 

机构地区：[1]College of Sciences, University of Shanghai for Science and Technology, Shanghai 200093, China [2]College of Sciences, Xidian University, Shaanxi 710071, China

出　　处：《Journal of Mathematical Research and Exposition》2009年第5期839-847,共9页数学研究与评论（英文版）

基　　金：Foundation item： 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）.

摘　　要：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.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.

关 键 词：existence result the first order difference Mountain Pass Lemma iterative technique. 

分 类 号：O241.82[理学—计算数学] TP274[理学—数学]