Global continuum and multiple positive solutions to one-dimensional p-Laplacian boundary value problem

被引：2
|
作者：
Wei, Liping [1 ]
Ma, Ruyun [1 ]
机构：
[1] Northwest Normal Univ, Dept Math, Lanzhou, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Difference equation; p-Laplacian; Positive solutions; Bifurcation; Picone-type identity; EXISTENCE;
D O I：
10.1186/s13662-020-02667-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show the global structure of the set of positive solutions of a discrete Dirichlet problem involving the p-Laplacian difference operator suggesting suitable conditions on the weight function and nonlinearity. We obtain existence and multiplicity of positive solutions for lambda lying in various intervals in R by using the directions of a bifurcation and the Picone-type identity for discrete p-Laplacian operators.
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页数：13
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