| 一阶非线性常微分方程解的存在唯一性 |
| |
| 引用本文： | 努尔别克·艾孜玛洪,木拉迪力·迪力穆拉提,依干拜尔迪·胡达拜尔迪,阿布都克热木·卡地尔. 一阶非线性常微分方程解的存在唯一性[J]. 新疆师范大学学报(自然科学版), 2014, 0(4): 45-48 |
| |
| 作者姓名： | 努尔别克·艾孜玛洪 木拉迪力·迪力穆拉提 依干拜尔迪·胡达拜尔迪 阿布都克热木·卡地尔 |
| |
| 作者单位： | 新疆农业大学 数理学院,新疆 乌鲁木齐,830052 |
| |
| 基金项目： | 新疆农业大学紧缺人才专业大学生创新项目和新疆农业大学校前期课题( XJAU201211)。 |
| |
| 摘 要： | 文章利用Banach不动点定理证明了一阶非线性常微分方程解的存在唯一性。在非线性项为无界的情况下得到了新的解的存在唯一性条件，弱化了Lipschitz条件和偏导连续性条件，为研究微分方程解的存在唯一性方面提供了新的思路和方法。
|
| 关 键 词： | Banach不动点 压缩映射 常微分方程 |
The Existence and Uniqueness of Solutions for One Order Non-linear Ordinary Differential Equations |
| |
| Azimahin·NURBEK,Dilmurat·MURADIL,Hudabardi·YGANBARDI,Kadir·ABUKERM. The Existence and Uniqueness of Solutions for One Order Non-linear Ordinary Differential Equations[J]. Journal of Xinjiang Normal University(Natural Sciences Edition), 2014, 0(4): 45-48 |
| |
| Authors: | Azimahin·NURBEK Dilmurat·MURADIL Hudabardi·YGANBARDI Kadir·ABUKERM |
| |
| Affiliation: | Azimahin·NURBEK,Dilmurat·MURADIL,Hudabardi·YGANBARDI,Kadir·ABUKERM(College of Mathematic and Physics, Xinjiang Agricultural University, Urumqi, Xinjiang, 830052, China) |
| |
| Abstract: | In this paper some new existence and uniqueness theorems for One Order Nonlinear Ordinary Differ-ential Equations are obtained by the Banach fixed point theorem. In the case that nonlinear term is unbounded, the paper gives new weaker condition than Liqschitz and continuous partial derivative condition, provide some new methods and conditions for existence and uniqueness of Ordinary Differential Equations. |
| |
| Keywords: | Banach fixed poind Contraction mapping Ordianry Differential Equations |
| 本文献已被 维普 等数据库收录！ |
