| 一个非恰当方程的两类特殊积分因子 |
| |
| 引用本文： | 包金梅,樊增平.一个非恰当方程的两类特殊积分因子[J].黄冈师范学院学报,2007,27(3):22-27. |
| |
| 作者姓名： | 包金梅 樊增平 |
| |
| 作者单位： | 1. 内蒙古广播电视大学,呼和浩特,010010
2. 内蒙古师范大学,数学科学学院,呼和浩特,010022 |
| |
| 摘 要： | 目的:利用积分因子法求解微分方程.方法:采用猜想、归纳及推理的方法证明了文献3]的推广定理.结果:得出了一个非恰当方程的两类特殊积分因子存在的充要条件,并举例说明了本文的结果.结论:此定理对研究和应用具有重要意义.
|
| 关 键 词： | 微分方程 恰当方程 积分因子 |
| 文章编号： | 1003-8078（2007）03-0022-06 |
| 修稿时间： | 2007-04-03 |
Two special integrating factors of a non-complete differential equation |
| |
| BAO Jin-mei,FAN Zeng-ping.Two special integrating factors of a non-complete differential equation[J].Journal of Huanggang Normal University,2007,27(3):22-27. |
| |
| Authors: | BAO Jin-mei FAN Zeng-ping |
| |
| Institution: | 1. Inner Mongolia Broadcast Television University, Huhhot 010010, China ; 2. Mathematics Science College of Inner Mongolia Normal University, Huhhot 010022, China |
| |
| Abstract: | Objective:To solve the differential equation with the help of integrating factor.Methods:Hypothesis,epagoge and illation.Results: Necessary and sufficient condition for the integrating factors of the equation is obtained and some examples are given.Conclusion: The theorem plays a significant role in theory and application. |
| |
| Keywords: | differential equation complete differential equation integrating factor |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
