复域上阿贝尔方程可积条件初步  

Primary Study of Integrable Condition to Abel Equation in Complex Domain

作　　者：周大勇[1] 孙建梅[2] 

机构地区：[1]大连交通大学理学院,辽宁大连116028 [2]东软信息学院计算机科学与技术系,辽宁大连116023

出　　处：《大连交通大学学报》2009年第1期94-97,共4页Journal of Dalian Jiaotong University

摘　　要：判定微分方程是否可积或求其精确解是微分方程理论中最重要和最基本的问题之一.利用变换群的理论方法,将复域上的阿贝尔方程转化为可分离变量方程或Bernoulli方程,进而得到了一组较为适用的判定条件.The determination of differential equation integrablity or its accuate solution is the most important and primary problem. The Abel equation integrability in complex domain is analyzed. By means of transformation group theory, the Abel equation can be alternated into separable equation or Bernoulli equation. Further-more, some ordinary integrable conditions are obtained for the abel equation.

关 键 词：阿贝尔方程 复域 线性变换 可积性 

分 类 号：O175.11[理学—数学]