摘要
研究了一类带p-Laplacian算子的分数阶微分方程边值问题的正解的存在性,利用Guo+Krasnosel’skii不动点定理和Legget-Williams不动点定理,得出边值问题至少存在一个正解及三个正解的充分条件,并给出了一个具体的例子.
This paper is concerned with the existence of positive solution for a class of boundary value problems of fractional differential equations with p-Laplacian operator.By using Guo-Krasnosel’skii fixed point theorem and Legget-Williams fixed point theorem,some sufficient conditions for the existence of at least one positive solution and three positive solutions are obtained.In addition,an example is given to illustrate theoretical results.
作者
段佳艳
王文霞
DUAN Jia-yan;WANG Wen-xia(Department of Mathematics,Taiyuan Normal University,Jinzhong 030619,China)
出处
《数学的实践与认识》
北大核心
2020年第23期212-219,共8页
Mathematics in Practice and Theory
基金
国家自然科学基金(11361047)。