Existence of Concave Positive Solutions for Fractional Sturm-Liouville Boundary Value Problems with p-Laplacian

被引：0

作者：

Sun Ying ^{[1
]}

Han Zhenlai ^{[1
]}

机构：

[1] Univ Jinan, Sch Math, Jinan 250022, Shandong, Peoples R China

来源：

PROCEEDINGS OF THE 35TH CHINESE CONTROL CONFERENCE 2016 | 2016年

关键词：

Positive Concave Solution; Sturm-Liouville Boundary Value Problem; p-Laplacian Operator; Captuo Derivative; DIFFERENTIAL-EQUATIONS;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, by using fixed point theory, we investigate existence and multiplicity of concave positive solutions for the following Sturm-Liouville boundary value problems with p-Laplacian operator {D-0+(alpha)(phi(p)(D-0+(rho) v(t))) + g(t, v(t), D-0+(gamma) v(t)) = 0 av(0) - bv' (0) = 0, cv(1) + dv' (1) = 0, v '' (0) = 0, D-0+(rho) v(t)vertical bar(t=0) = 0, where phi(p)(s) = vertical bar s vertical bar(p-2) s, p > 1. As an application, an example is given to demonstrate the main result.

引用

页码：10498 / 10503

页数：6

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