| 一族高阶常微分方程边值问题解的存在性 |
| |
| 引用本文： | 岑仲迪.一族高阶常微分方程边值问题解的存在性[J].浙江万里学院学报,2007,20(2):1-5. |
| |
| 作者姓名： | 岑仲迪 |
| |
| 作者单位： | 浙江万里学院,宁波,315100 |
| |
| 摘 要： | 文章利用格林函数导出一族高阶常微分方程边值问题解的存在性定理.特别是利用广义格林函数证明了高阶齐次方程存在非平凡解的情况下对应的高阶非齐次边值问题存在一解的充要条件。
|
| 关 键 词： | 格林函数 高阶常微分方程 两点边值问题 |
| 文章编号： | 1671-2250（2007）02-0001-05 |
| 收稿时间： | 2006-11-15 |
| 修稿时间： | 2006年11月15 |
Existence Theorem of a Class of High-order Ordinary Differential Equations |
| |
| CEN Zhong-di.Existence Theorem of a Class of High-order Ordinary Differential Equations[J].Journal of Zhejiang Wanli University,2007,20(2):1-5. |
| |
| Authors: | CEN Zhong-di |
| |
| Abstract: | In this paper we apply Green's function to derive the existence and uniqueness theory of a class of high-order ordinary differential equations.In particular,we use generalized Green's function to prove that the high-order nonhomogeneous boundary value problem has a solution when the associated homogeneous problem has a nontrivial solution. |
| |
| Keywords: | Green function high-order differential equation two-point boundary value problem |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
