具有p-Laplacian算子的分数阶微分耦合系统边值问题的正解  

Positive Solutions of Boundary Value Problem for Fractional Differential Coupled Systems with p-Laplacian Operator

作　　者：王宁[1] 周宗福[1] WANG Ning;ZHOU Zongfu(School of Mathematical Sciences,Anhui University,Hefei 230601,China)

机构地区：[1]安徽大学数学科学学院,安徽合肥230601

出　　处：《应用数学》2023年第2期530-539,共10页Mathematica Applicata

基　　金：Supported by Anhui provincial Natural Science Foundation(1608085MA12)。

摘　　要：本文考虑一类具有p-Laplacian算子和无穷多点边界条件的分数阶微分耦合系统,利用Avery-Peterson不动点定理得到该系统至少三个正解的存在性,扩展了已有的结果.In this paper,a class of fractional differential coupled systems with p-Laplacian operator and infinite multi-point boundary value conditions is considered.The existence of at least three positive solutions for the boundary value problem is obtained by using Avery-Peterson fixed point theorem.The research of this paper extends the known results.

关 键 词：耦合系统 P-LAPLACIAN算子 不动点定理 正解 

分 类 号：O175.8[理学—数学]