摘要
利用Banach空间中的压缩映射原理,证明了一个复系数非线性常微分方程组解存在唯一性。第一部分介绍了一些基本的预备知识,第二部分对于一个具体的复系数微分方程组的解的存在唯一性给出证明,第三部分给出结论。
Use of the contraction mapping principle in Banach space was made to have proved the existence and uniqueness of the solution to the grouped nonlinear ordinary differential equations with complex coefficient. The first part introduced some basic preparing knowledge, the second part proved the existence and uniqueness of the solution to the grouped nonlinear ordinary differential equations with complex coefficient. The third part presents conclusions.
出处
《辽宁工业大学学报（自然科学版）》
2011年第6期398-401,共4页
Journal of Liaoning University of Technology(Natural Science Edition)
关键词
压缩映射原理
常微分方程组
不动点
contraction mapping principle
ordinary differential equation
fixed point
