常微分方程解的指数性质  

Exponent Properties of Solutions for Ordinary Differential Equation System

作　　者：吴兴玲[1] 

机构地区：[1]贵州民族学院理学院,贵州贵阳550025

出　　处：《遵义师范学院学报》2011年第2期81-82,共2页Journal of Zunyi Normal University

基　　金：贵州民族学院校级重点教改项目(GUN2010JG22)

摘　　要：借助群的概念和性质,得出一阶非线性微分方程组的解对复合运算构成群,因此,无论是一阶线性微分方程组还是非线性微分方程组,它的解对相应的"乘"法都具有指数性质.In this paper,by means of the concept and viewpoint of group,we obtain that the solutions of first order non-linear ordinary differential equation system form a group under composition;thereby,the solutions all satisfy the rule of the exponent operation under corresponding ＂ product ＂,whether for first order linear system or non-linear system.

关 键 词：常微分方程的解 群 指数性质 

分 类 号：O175.1[理学—数学]