| 具有时滞的p-Laplacian方程非局部问题迭代正解的存在性 |
| |
| 引用本文： | 郑春华,刘文斌.具有时滞的p-Laplacian方程非局部问题迭代正解的存在性[J].华南师范大学学报(自然科学版),2013,45(2):24-0. |
| |
| 作者姓名： | 郑春华 刘文斌 |
| |
| 作者单位： | 1.1.陕西工业职业技术学院 |
| |
| 基金项目： | 国家自然科学基金项目(10771212);陕西工业职业技术学院科研项目(zk10-18) |
| |
| 摘 要： | 研究了一类具有时滞的p-Laplacian方程的非局部问题.利用单调迭代方法在未引入上下解的条件下得到了该边值问题正解存在的充分条件，并确立了收敛到该正解的迭代序列.
|
| 关 键 词： | 正解 |
| 收稿时间： | 2011-12-19 |
Existence and Monotone Iteration of Positive Solutions for a Nonlocal Boundary Value Problem with Delay and p-Laplacian Operator |
| |
| ZHENG Chunhua,LIU Wenbin.Existence and Monotone Iteration of Positive Solutions for a Nonlocal Boundary Value Problem with Delay and p-Laplacian Operator[J].Journal of South China Normal University(Natural Science Edition),2013,45(2):24-0. |
| |
| Authors: | ZHENG Chunhua LIU Wenbin |
| |
| Institution: | 1.Basic Department,Shanxi Polytechnic Institute,Xianyang,Shanxi 712000,China; 2.Department of Mathematics,China University of Mining and Technology,Xuzhou,Jiangsu 221116,China) |
| |
| Abstract: | A class of nonlocal boundary value problem with p-Laplacian operator and delay is studied. By using monotone iterative technique without the assumption of the existence of lower and upper solutions, some sufficient conditions on the existence of positive solutions for this boundary value problem are obtained and corresponding iterative schemes which converge to the solutions are established. |
| |
| Keywords: | |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《华南师范大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《华南师范大学学报(自然科学版)》下载免费的PDF全文 |
