| 二阶微分方程多点边值问题多个正解的存在性 |
| |
| 引用本文： | 车晓飞,章美月,刘丙镯.二阶微分方程多点边值问题多个正解的存在性[J].黑龙江科技学院学报,2010,20(4):307-311. |
| |
| 作者姓名： | 车晓飞 章美月 刘丙镯 |
| |
| 作者单位： | 中国矿业大学,理学院,江苏,徐州,221008 |
| |
| 摘 要： | 为研究不同形式的多点边值问题的正解存在性，利用锥中的Avery—Peterson不动点定理，讨论一类二阶p—Laplacian方程多点边值问题多个正解的存在性，得到了该问题至少存在三个正解的充分性条件，并将已有的m点边值问题推广到了双m点。
|
| 关 键 词： | P—Laplacian方程 多点边值问题 多个正解 Avery—Peterson不动点定理 |
Multiple positive solutions for two-dimensional multi-point boundary value problems with p-Laplacian |
| |
| CHE Xiaofei,ZHANG Meiyue,LIU Bingzhuo.Multiple positive solutions for two-dimensional multi-point boundary value problems with p-Laplacian[J].Journal of Heilongjiang Institute of Science and Technology,2010,20(4):307-311. |
| |
| Authors: | CHE Xiaofei ZHANG Meiyue LIU Bingzhuo |
| |
| Institution: | (College of Sciences, China University of Mining ＆ Technology. Xuzhou 221008, China) |
| |
| Abstract: | In order to investigate different forms of the existence of positive solutions for multi-point boundary value problems, the existence of at least three positive solutions for two-dimensional multi-point boundary value problems is considered. Means of Avery -Peterson fixed point theorem are used to estab- lish sufficient conditions for the existence of this problem and spread the conclusion from m points to double m points. |
| |
| Keywords: | p- Laplacian operator multi-point boundary value problems： multiple positive solu- tions Avery -Peterson fixed point theorem |
| 本文献已被 维普 万方数据 等数据库收录！ |
|
