Existence of positive solutions for Sturm-Liouville-like boundary value problem with p-Laplacian on time scales

被引：0

作者：

Sun S. ^{[1
,2
]}

Zhang M. ^{[1
]}

Han Z. ^{[1
,3
]}

Li H. ^{[1
]}

机构：

[1] School of Science, University of Jinan, Jinan

[2] Department of Mathematics and Statistics, Missouri University of Science and Technology, Rolla

[3] School of Control Science and Engineering, Shandong University, Jinan

来源：

Journal of Applied Mathematics and Computing | 2011年 / 37卷 / 1-2期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

Krasnosel'ski's fixed point theorem; p-Laplacian; Positive solution; Sturm-Liouville-like; Time scales;

D O I：

10.1007/s12190-010-0443-2

中图分类号：

学科分类号：

摘要：

We consider the existence of positive solutions for a class of Sturm-Liouville-like boundary value problem with p-Laplacian on time scales. Using the well known Krasnosel'ski's fixed point theorem, some new existence criteria for positive solutions of the boundary value problem are presented. As an application, two examples are given to illustrate the main results. © 2010 Korean Society for Computational and Applied Mathematics.

引用

页码：443 / 458

页数：15

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