Positive solutions for discrete boundary value problems with p-Laplacian

被引：1
|
作者：
Ji, Dehong [1 ,2 ]
Ge, Weigao [2 ]
机构：
[1] Tianjin Univ Technol, Coll Sci, Tianjin 300384, Peoples R China
[2] Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China
来源：
JOURNAL OF APPLIED ANALYSIS | 2010年 / 16卷 / 01期
基金：
中国国家自然科学基金;
关键词：
undary value problem; positive solutions; p-Laplacian; iterative;
D O I：
10.1515/JAA.2010.008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the paper, we obtain the existence of positive solutions and establish a corresponding iterative scheme for the following two-point discrete boundary value problem with p-Laplacian: Delta(phi(p)(Delta u(k - 1))) + e(k) f(u)(k)) = 0, k is an element of N(1, T), u(0) - B-0(Delta u(0)) = 0, u(T + 1) + B-1(Delta u(T)) = 0. The main tool is the monotone iterative technique.
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页码：107 / 119
页数：13
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