| 一类四阶非线性微分方程边值问题正解的存在性 |
| |
| 引用本文： | 邓廷勇,孔令彬. 一类四阶非线性微分方程边值问题正解的存在性[J]. 黑龙江八一农垦大学学报, 2010, 22(6): 79-82 |
| |
| 作者姓名： | 邓廷勇 孔令彬 |
| |
| 作者单位： | 大庆石油学院数学科学与技术学院,大庆,163318;黑龙江八一农垦大学文理学院,大庆,163319;大庆石油学院数学科学与技术学院,大庆,163318 |
| |
| 摘 要： | 研究一类特殊形式的四阶非线性常微分方程边值问题,给出其正解存在的充分条件,并利用锥压缩与锥拉伸不动点定理证明正解的存在性。
|
| 关 键 词： | 四阶非线性微分方程边值问题 正解存在性 锥不动点定理 |
Existence of a Boundary Value Problem Positive Solution of Fourth-order Nonlinear Differential Equations |
| |
| Deng Tingyong,Kong Lingbin. Existence of a Boundary Value Problem Positive Solution of Fourth-order Nonlinear Differential Equations[J]. journal of heilongjiang bayi agricultural university, 2010, 22(6): 79-82 |
| |
| Authors: | Deng Tingyong Kong Lingbin |
| |
| Affiliation: | 1.College of Mathematical Science and Technology,Daqing Petroleum Institute,Daqing,163318; 2.College of Science,Heilongjiang Bayi Agricultural University) |
| |
| Abstract: | This paper studies a boundary value problem of fourth-order differential equation in a special form,providing sufficient conditions for the existence of its positive solutions,and proving the existence of the positive solution by using the fixed point theorem of compression and cone expansion. |
| |
| Keywords: | the boundary value problem of fourth-order nonlinear differential equations existence of the positive solution fixed-point theorem of cone |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
