| 一类非线性三阶三点边值问题的可解性 |
| |
| 引用本文： | 方雅敏,李淑红.一类非线性三阶三点边值问题的可解性[J].杭州师范学院学报(自然科学版),2008,7(3):164-167. |
| |
| 作者姓名： | 方雅敏 李淑红 |
| |
| 作者单位： | 丽水学院数学系,浙江丽水,323000 |
| |
| 摘 要： | 讨论了一类非线性项含一阶和二阶导数的三阶三点边值问题的可解性．在非线性项f满足线性增长的限制条件下．通过构造适当的Banach空间并利用Leray—Schauder非线性抉择证明了一个存在定理．
|
| 关 键 词： | 三阶三点边值问题 解 存在性 Leray—Schauder非线性抉择 |
| 文章编号： | 1674-232X(2008)03-0164-04 |
| 修稿时间： | 2008年2月28日 |
Solvability for A Third-order Three-point Boundary Value Problem |
| |
| FANG Ya-min,LI Shu-hong.Solvability for A Third-order Three-point Boundary Value Problem[J].Journal of Hangzhou Teachers College(Natural Science),2008,7(3):164-167. |
| |
| Authors: | FANG Ya-min LI Shu-hong |
| |
| Affiliation: | (Department of Mathematics, Lishui University, Lishui 323000, China) |
| |
| Abstract: | The solvability is considered for a class of third-order three-point boundary value problem with first and second derivatives. When the nonlinear term f satisfies a restriction of linear growth, by constructing a suitable Banach space and applyingthe Leray-Schauder nonlinear alternative, an existence theorem is proved. |
| |
| Keywords: | third-order three-point boundary value problem solutions existence Leray-Schauder nonlinear alternative |
| 本文献已被 维普 万方数据 等数据库收录！ |
