| 一个两点边值问题多重正解的存在性 |
| |
| 引用本文： | 余建辉. 一个两点边值问题多重正解的存在性[J]. 福州大学学报(自然科学版), 1998, 0(5): 1-5 |
| |
| 作者姓名： | 余建辉 |
| |
| 作者单位： | 福州大学数学系 |
| |
| 基金项目： | 国家自然科学基金,福建省自然科学基金 |
| |
| 摘 要： | 利用不动点指数的同伦不变性和最大值原理，经过构造一个函数，得到了非线性两点边值问题至少存在两个正解的新的充分条件．该结果在Ｄｉｒｉｃｈｌｅｔ边值问题的情况下，严格优于文献［１］的相应结果．
|
| 关 键 词： | 边值问题 正解 不动点指数 最大值原理 |
The Existence of Multiple Positive Solutions to Two-Point Boundary Value Problems |
| |
| Yu Jianhui. The Existence of Multiple Positive Solutions to Two-Point Boundary Value Problems[J]. Journal of Fuzhou University(Natural Science Edition), 1998, 0(5): 1-5 |
| |
| Authors: | Yu Jianhui |
| |
| Affiliation: | Yu Jianhui (Department of Mathematics, Fuzhou University, Fuzhou, 350002) |
| |
| Abstract: | In this paper, me obtain the result that there are at least two positive solutions to nonlinear two point boundary value problems by using homotopy invariance of the fixed point index, maximum principles, and the construction of a function. This result is strictly better than the corresponding result of Z. Liu and F. Li in, under conditions of dirichlet boundary value problems. |
| |
| Keywords: | boundary value problem positive solution fixed point index maximum principle |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《福州大学学报(自然科学版)》浏览原始摘要信息 |
|
点击此处可从《福州大学学报(自然科学版)》下载免费的PDF全文 |
