带正同态算子的脉冲分数阶微分方程积分边值问题正解的多重性  

Multiplicity of Positive Solutions of Integral BVPs for an Impulsive Fractional Differential Equation with Positive Homomorphism Operator

作　　者：龚平 汪坤 GONG PING;WANG KUN(School of Mathematics and Statistics,Guangdong University of Foreign Studies,Guangzhou 510006,China;School of Mathematics and Information Science,Guangzhou University,Guangzhou 510006,China)

机构地区：[1]广东外语外贸大学数学与统计学院,广州510006 [2]广州大学数学与信息科学学院,广州510006

出　　处：《应用数学学报》2024年第1期29-44,共16页Acta Mathematicae Applicatae Sinica

基　　金：国家自然科学基金(批准号:62003142);广东省基础与应用基础研究基金(批准号:2023A1515011025,2020A1515110965)资助项目。

摘　　要：本文关注带正同态算子的脉冲分数阶微分方程积分边值问题正解的多重性问题.利用经典的Guo-Krasnosel’skii不动点定理,给出了脉冲分数阶微分方程至少存在两个正解的充分条件.最后,用实例验证了理论结果的有效性.This paper focus on the multiplicity problem of positive solutions of integral boundary value problems for an impulsive fractional differential equation with positive homomorphism operator.By using the classical Guo-Krasnosel'skii fixed point theorem,some sufficient conditions for the existence of at least two positive solutions of impulsive fractional differential equation are derived.Finally,one example is shown to illustrate the theoretical results.

关 键 词：脉冲 积分边值问题 正同态算子 多重性 

分 类 号：O175.8[理学—数学]