广西师范大学学报（自然科学版）2017，Vol.35Issue(3)：75-82,8.DOI:10.16088/j.issn.1001-6600.2017.03.009
带p-Laplacian算子的时滞分数阶微分方程边值问题3个正解的存在性
Existence of Three Positive Solutions for Fractional Differential Equation of Boundary Value Problem with p-Laplacian Operator and Delay
摘要
Abstract
In this paper,the existence of positive solutions for fractional differential equation boundary value problems with p-Laplacian operator and delay are considered.By using Avery-Perterson fixed point theorem,under certain growth conditions,the existence of at least three positive solutions for the above boundary value problem are studied.Not only are some new results obtained,but also some known results are generalized and improved.关键词
分数阶微分方程/时滞微分方程/边值问题/p-Laplacian算子/Avery-Peterson不动点定理Key words
fractional differential equation/delay/boundary value problem/p-Laplacian operator/Avery-Peterson fixed point theorem分类
数理科学引用本文复制引用
闫荣君,韦煜明,冯春华..带p-Laplacian算子的时滞分数阶微分方程边值问题3个正解的存在性[J].广西师范大学学报（自然科学版）,2017,35(3):75-82,8.基金项目
国家自然科学基金(11361010) （11361010）
广西自然科学基金(2014GXNSFAA118002) （2014GXNSFAA118002）
广西高等学校高水平创新团队及卓越学者计划 （）
广西高等数学与统计模型重点实验室开放基金 （）
