The eigenvalue for a class of singular p-Laplacian fractional differential equations involving the Riemann-Stieltjes integral boundary condition

被引：112

作者：

Zhang, Xinguang ^{[1
,4
]}

Liu, Lishan ^{[2
]}

Wiwatanapataphee, Benchawan ^{[3
]}

Wu, Yonghong ^{[4
]}

机构：

[1] Yantai Univ, Sch Math & Informat Sci, Yantai 264005, Shandong, Peoples R China

[2] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China

[3] Mahidol Univ, Fac Sci, Bangkok 10400, Thailand

[4] Curtin Univ Technol, Dept Math & Stat, Perth, WA 6845, Australia

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 235卷

基金：

中国国家自然科学基金;

关键词：

Upper and lower solutions; p-Laplacian operator; Fractional differential equation; Integral boundary condition; Eigenvalue; MULTIPLE POSITIVE SOLUTIONS; EXISTENCE; UNIQUENESS;

D O I：

10.1016/j.amc.2014.02.062

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we are concerned with the eigenvalue problem of a class of singular p-Laplacian fractional differential equations involving the Riemann-Stieltjes integral boundary condition. The conditions for the existence of at least one positive solution is established together with the estimates of the lower and upper bounds of the solution at any instant of time. Our results are derived based on the method of upper and lower solutions and the Schauder fixed point theorem. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：412 / 422

页数：11

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