一类pLaplacian多点边值问题单调迭代正解的存在性

J4 ›› 2009, Vol. 44 ›› Issue (5): 81-85.

一类pLaplacian多点边值问题单调迭代正解的存在性

赵东霞 ¹，王宏洲²

1. 中北大学理学院数学系, 山西太原 030051； 2. 北京理工大学理学院数学系, 北京 100081

收稿日期:2008-10-27 出版日期:2009-05-16 发布日期:2009-11-18
作者简介:赵东霞(1981)，女，硕士研究生，助教，研究方向为微分方程. Email: zhaodongxia6@sina.com
基金资助:
山西省青年基金资助项目(20090210012)

Existence and iteration of monotone positive solutions to a class ofpLaplacian multipoint boundary value problem

ZHAO Dongxia ¹, WANG Hongzhou ²

1. School of Science, North University of China, Taiyuan 030051, Shanxi, China;
2. School of Science, Beijing Institute of Technology, Beijing 100081, China

Received:2008-10-27 Online:2009-05-16 Published:2009-11-18

摘要/Abstract

摘要：

利用单调迭代方法获得了一类pLaplacian多点边值问题的正解迭代程序,这些迭代程序是从常值或者一次函数开始,是可行且有效的。文中还举了例子,进一步证实本文理论的严密性和可行性。

关键词: pLaplacian; 多点边值问题; 单调迭代方法; 锥

Abstract:

A class of pLaplacian multipoint boundary value problem is studied. By using monotone iterative technique, we obtain the existence of monotone positive solutions for the boundary value problem and establish corresponding iterative schemes which are feasible and effective since they are started by constants or lineral functions. We also apply the results to a detailed example which validates our results.

Key words: pLaplacian; multipoint boundary value problem; monotone iterative technique; cone

中图分类号:

O17508

. 一类pLaplacian多点边值问题单调迭代正解的存在性[J]. J4, 2009, 44(5): 81-85.

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