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带p-Laplace算子的多点边值问题的解存在性
引用本文:肖亿军.带p-Laplace算子的多点边值问题的解存在性[J].佛山科学技术学院学报(自然科学版),2009,27(1):32-37.
作者姓名:肖亿军
作者单位:吉林大学珠海学院,公共基础课教学与研究中心,广东,珠海,519041
摘    要:研究带p-Laplace算子的非线性微分方程的多点边值问题正解的存在性,应用Avery-Peterson不动点定理,给出了这类边值问题至少存在3个正解的充分条件。

关 键 词:多点边值问题  正解    不动点定理

Existence of positive solutions for multi-point boundary value problem with p-laplacian operator
XIAO Yi-jun.Existence of positive solutions for multi-point boundary value problem with p-laplacian operator[J].Journal of Foshan University(Natural Science Edition),2009,27(1):32-37.
Authors:XIAO Yi-jun
Institution:Public Foundational Courses Teaching & Researching Center;Zhuhai College of Jilin University;Zhuhai 519041;China
Abstract:The existence of positive solutions for multi-point boundary value problem with p-La-placian operator is investigated by using Avery-Peterson fixed point theorem and the full conditions of 3 positive solutions to the boundary value problems are given.
Keywords:point boundary value problems  positive solution  cone  fixed point theorem  
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