Existence of Positive Solutions for Singular One-Dimensional P-Laplace BVP of the Second-Order Difference Systems  

作　　者：Weimin HU Guli Bahaer Daqing JIANG 

机构地区：[1]School of Mathematics and Statistics,Ili Normal University [2]School of Mathematics and Statistics,Northeast Normal University

出　　处：《Journal of Mathematical Research with Applications》2013年第2期189-203,共15页数学研究及应用（英文版）

基　　金：Supported by the XJZDXK of China(Grant No.XJZDXK2011004);the National Natural Science Foundation of China(Grant No.10971021)

摘　　要：In this paper we establish the existence of single and multiple positive solutions to the following singular discrete boundary value problem {△[Ф△x（i-1））]＋q1（i）f1（i,x（i）,y（i））=0,i∈{1,2,…,T}△[Ф△x（i-1））]＋q1（i）f2（i,x（i）,y（i））=0,x（0）=x（T＋1）=y（T＋1）=y（0）=y（T＋1）=0,whereФ（s）=｜s｜^p-2s,p〉1 and the nonlinear terms fk（i,x,y）（k=1,2）may be singular at （x,y）=（0,0）.In this paper we establish the existence of single and multiple positive solutions to the following singular discrete boundary value problem {△[Ф△x（i-1））]＋q1（i）f1（i,x（i）,y（i））=0,i∈{1,2,…,T}△[Ф△x（i-1））]＋q1（i）f2（i,x（i）,y（i））=0,x（0）=x（T＋1）=y（T＋1）=y（0）=y（T＋1）=0,whereФ（s）=｜s｜^p-2s,p〉1 and the nonlinear terms fk（i,x,y）（k=1,2）may be singular at （x,y）=（0,0）.

关 键 词：multiple solutions SINGULAR EXISTENCE discrete boundary value problem. 

分 类 号：O175.7[理学—数学] TP391.41[理学—基础数学]