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。
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.
出处
《新疆师范大学学报（自然科学版）》
2014年第4期45-48,共4页
Journal of Xinjiang Normal University(Natural Sciences Edition)
基金
新疆农业大学紧缺人才专业大学生创新项目
新疆农业大学校前期课题(XJAU201211)
关键词
Banach不动点
压缩映射
常微分方程
Banach fixed poind Contraction mapping Ordianry Differential Equations
