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

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.