| 缺乏单调性的奇异三阶三点边值问题的正解(英文) |
| |
| 引用本文： | 姚庆六.缺乏单调性的奇异三阶三点边值问题的正解(英文)[J].应用数学,2010,23(2). |
| |
| 作者姓名： | 姚庆六 |
| |
| 作者单位： | 南京财经大学应用数学系,江苏,南京,210003 |
| |
| 摘 要： | 考虑了非线性三阶三点边值问题u′′′(t)=f(t,u(t))+g(t,u(t)),0t1,u(0)=u′(η)=u′′(1)=0的正解.本文中g(t,u)可以在t=0,t=1及u=0处奇异,而且允许g(t,u)关于u不是非减的.通过构造适当的控制函数并且利用锥上的Guo-Krasnoselskii不动点定理,证明了若干新的局部存在定理.
|
| 关 键 词： | 常微分方程 多点边值问题 奇异非线性 正解 |
Positive Solutions of Singular Third-order Three-point Boundary Value Problems without Monotonicity |
| |
| YAO Qing-liu.Positive Solutions of Singular Third-order Three-point Boundary Value Problems without Monotonicity[J].Mathematica Applicata,2010,23(2). |
| |
| Authors: | YAO Qing-liu |
| |
| Abstract: | The positive solutions of the nonlinear third-order three-point boundary value problem u'(t)= f(t,u(t))+g(t,u(t)),0
|
| |
| Keywords: | Ordinary differential equation Multi-point boundary value problem Singular nonlinearity Positive solution |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
