新疆师范大学学报(自然科学版)Issue(4):45-48,4.
一阶非线性常微分方程解的存在唯一性
The Existence and Uniqueness of Solutions for One Order Non-linear Ordinary Differential Equations
摘要
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.关键词
Banach不动点/压缩映射/常微分方程Key words
Banach fixed poind/Contraction mapping/Ordianry Differential Equations分类
数理科学引用本文复制引用
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,(4):45-48,4.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)。 ()