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复域上右端为有理分式的常微分方程的显易解结构
引用本文:朴凤贤,马秀珍,韩静华.复域上右端为有理分式的常微分方程的显易解结构[J].沈阳航空工业学院学报,2004,21(1):68-72.
作者姓名:朴凤贤  马秀珍  韩静华
作者单位:沈阳航空工业学院基础部,辽宁,沈阳,110034
摘    要:本文给出了复域内右端为有理分式的非线性常微分方程的某一类显易解结构的一般形式,详细讨论了这类显易解结构存在的条件。

关 键 词:复域  有理分式  常微分方程  显易解结构  分式线性变换群  通解
文章编号:1007-1385(2004)01-0068-05
修稿时间:2003年8月13日

The explicit solution structure for differential equation which is rational fraction in right part of the complex number field
PIAO Feng-xian MA Xiu-zhen HAN Jing-hua.The explicit solution structure for differential equation which is rational fraction in right part of the complex number field[J].Journal of Shenyang Institute of Aeronautical Engineering,2004,21(1):68-72.
Authors:PIAO Feng-xian MA Xiu-zhen HAN Jing-hua
Abstract:This paper introduces the history of the differential equation development, its present situation and its trend of development. It gives the general form of the explicit solution structure for the nonlinear differential equation which is rational fraction in right part of the complex number field, and discuss the existence conditions of the explicit solution.
Keywords:explicit solution structure  general solution  fraction linear transform
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