一类具P-Laplacian算子的半正分数阶微分方程脉冲边值问题正解的存在性与唯一性  

The existence and uniqueness of positive solutions for semipositone fractional impulsive differential equations boundary value problems with P-Laplacian operator

作　　者：盛世昌 张婷婷 胡卫敏 SHENG Shi-chang;ZHANG Ting-ting;HU wei-min(School of Mathematics and Statistics,Yili Normal University,Yining 835000,China;Institute of Applied Mathematics,Yili Normal University,Yining 835000,China)

机构地区：[1]伊犁师范大学数学与统计学院,新疆伊宁835000 [2]伊犁师范大学应用数学研究所,新疆伊宁835000

出　　处：《东北师大学报（自然科学版）》2023年第1期15-23,共9页Journal of Northeast Normal University(Natural Science Edition)

基　　金：新疆维吾尔自治区自然科学基金资助项目(2019D01C331);伊犁州科技计划项目(YZ2022Y013);伊犁师范大学科研创新团队项目(XZK2021016).

摘　　要：讨论了一类具P-Laplacian算子的半正分数阶微分方程脉冲边值问题正解的存在性,利用上下解方法研究了其正解的唯一性.The existence of positive solutions for semipositone fractional impulsive differential equations boundary value problems with P-Laplacian operator is discussed.By using upper and lower solution method,the uniqueness of positive solutions is given,and it is verified by an example.

关 键 词：脉冲 半正 P-LAPLACIAN算子 分数阶微分方程 边值问题 

分 类 号：O175.8[理学—数学]