一类带p-Laplace算子的多点边值问题的正解  

Existence of positive solutions for multi-point boundary value problem with p-Laplacian operator

作　　者：肖亿军[1] 

机构地区：[1]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

出　　处：《佛山科学技术学院学报（自然科学版）》2009年第6期32-36,共5页Journal of Foshan University(Natural Science Edition)

摘　　要：研究带p-Laplace算子的非线性微分方程的多点边值问题解的存在性,应用单调迭代,给出了这类边值问题存在解的充分条件,还给出了向正解靠近的单调集。The existence of solutions for multi-point boundary value problem with p-Laplacian operator is investigated by using monotone iterative method.It is proved that boundary value problem has at least one positive solution under suitable conditions.A series of solutions which converge to the terminal solution is suggested in the paper.

关 键 词：多点边值问题 单调迭代 可解性 

分 类 号：O175.8[理学—数学]