一类带有p-Laplacian算子的分数阶积分边值问题的多重正解  

Multiple Positive Solutions for Fractional In-tegral Boundary Value Problems with p-Laplacian Operators

作　　者：武瑜 刘畅[1] 

机构地区：[1]太原师范学院,数学与统计学院,山西 晋中

出　　处：《应用数学进展》2023年第3期1340-1350,共11页Advances in Applied Mathematics

摘　　要：本文研究了一类带有p-Laplacian算子的分数阶积分边值问题正解的存在性,通过研究格林函数的性质,运用锥拉伸锥压缩不动点定理以及Leggett-Williams不动点定理,获得了该边值问题至少存在一个正解及三个正解的充分条件,并给出实例验证所得结论。Studying the properties of Green’s function and using the cone stretching cone compression fixed point theorem and the Leggett-Williams fixed point theorem, this paper studies the existence of positive solutions for a class of fractional integral boundary value problems with p-Laplacian oper-ators, obtains sufficient conditions for the existence of at least one positive solution and three posi-tive solutions to the boundary value problems, and gives some examples illustrating the results obtained.

关 键 词：P-LAPLACIAN算子 分数阶微分方程 边值问题 

分 类 号：O17[理学—数学]