帶p—Laplacian算子的分?jǐn)?shù)階微分方程多點(diǎn)邊值問題的解的存在性

呂秋燕++劉文斌++唐敏++申騰飛++程玲玲

摘 要 利用不動點(diǎn)定理，研究帶有p-Laplacian算子的分?jǐn)?shù)階微分方程多點(diǎn)邊值問題解的存在性，得到邊值問題至少存在一個解的充分條件.

關(guān)鍵詞 分?jǐn)?shù)階微分方程；p-Laplacian算子；存在性；不動點(diǎn)定理

中圖分類號 O175.8 文獻(xiàn)標(biāo)識碼 A 文章編號 10002537（2016）01008005

Exitence of Solutions for Fractions Multipoint

Boundary Value Problem with p-Laplacian Operator

LV Qiuyan1， LIU Wenbin2*， TANG Min2， SHEN Tengfei2， CHENG Lingling2

（1.Dongshan High School， Suzhou 215107， China；

2.College of Science， China University of Mining and Technology， Xuzhou 221116， China）

Abstract

This paper presents a study on the existence of solutions for the fractional multi-point boundary value problem with p-Laplacian operator. Making use of the fixed-point theorem， we obtained sufficient conditions to guarantee the existence of at least one solution for the boundary value problem.

Key words fractional differential equation； p-Laplacian operator； existence； fixed point theorem

顯然，問題（4）滿足定理2.1的假設(shè)條件.因此，至少存在一個解.

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（編輯 HWJ）