一类具有p-Laplacian算子的二阶m点边值问题迭代正解的存在性  

Existence and iteration of positive solutions for a multipoint some p-Laplacian boundary value problem

作　　者：沙勇[1] 张亮[1] 付嵩峰[1] 

机构地区：[1]中南大学数学科学与计算技术学院,湖南长沙410075

出　　处：《湖南文理学院学报（自然科学版）》2008年第4期7-10,共4页Journal of Hunan University of Arts and Science(Science and Technology)

摘　　要：利用单调迭代方法讨论了一类具有p-Laplace算子的多点边值问题,不仅得到了两个正解,而且建立了迭代序列逼近其解.Existence and iteration of positive solutions for a multipoint some p-Laplacian differential equation was studied, by applying a monotone iterative method. Not only the existence of two positive solutions for the problem was obtained, but also iterative schemes for approximating the solutions was established.

关 键 词：锥 P-LAPLACE算子 多点边值问题 迭代 正解 

分 类 号：O175.8[理学—数学]