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具有p-Laplacian算子的分数阶微分耦合系统边值问题的正解OACSTPCD

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

中文摘要英文摘要

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.

王宁;周宗福

安徽大学数学科学学院,安徽 合肥230601安徽大学数学科学学院,安徽 合肥230601

数理科学

耦合系统p-Laplacian算子不动点定理正解

Coupled systemp-Laplacian operatorFixed point theoremPositive solution

《应用数学》 2023 (2)

530-539,10

Supported by Anhui provincial Natural Science Foundation(1608085MA12)

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