无穷区间上具有pLaplacian算子的SturmLiouville型边值问题的迭代正解

J4 ›› 2009, Vol. 44 ›› Issue (5): 86-90.

无穷区间上具有pLaplacian算子的SturmLiouville型边值问题的迭代正解

张兴秋, 王新华

聊城大学数学科学学院, 山东聊城 252059

收稿日期:2008-10-15 出版日期:2009-05-16 发布日期:2009-11-18
作者简介:张兴秋(1975-),男,博士,研究方向为非线性泛函分析及其应用. Email:zhxq197508@163.com
基金资助:
国家自然科学基金资助项目(10671167);聊城大学科研启动基金资助项目(31805)

Successive iteration of positive solutions for some SturmLiouvillelike boundary value problems with pLaplacian on infinite intervals

ZHANG Xingqiu, WANG Xinhua

Department of Mathematics, Liaocheng University, Liaocheng 252059, Shandong, China

Received:2008-10-15 Online:2009-05-16 Published:2009-11-18

摘要/Abstract

摘要：

利用单调迭代方法得到了无穷区间上具有pLaplacian算子的微分方程边值问题迭代正解的存在性, 同时也得到了解的相应迭代序列。

关键词: 奇异方程; 迭代解; pLaplacian; 无穷区间; 一阶导数

Abstract:

The existence and successive iteration of positive solutions for boundary value problems with pLaplacian on infinite intervals are investigated and the corresponding iterative schemes for approximating the solutions are also given.

Key words: singular equation; iteration; pLaplacian; infinite interval; first derivative

中图分类号:

O175.15

. 无穷区间上具有pLaplacian算子的SturmLiouville型边值问题的迭代正解[J]. J4, 2009, 44(5): 86-90.

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