| 张学元.一类非线性微分方程可线性化的充要条件[J].南华大学学报(自然科学版),2003,(2):15~18.[.The Sufficient and Necessary Condition to the Linearization of One Kind of Non-linear Differential Equation[J].Journal of University of South China(Science and Technology),2003,(2):15~18.] |
| 一类非线性微分方程可线性化的充要条件 |
| The Sufficient and Necessary Condition to the Linearization of One Kind of Non-linear Differential Equation |
| 修订日期：2003-03-24 |
| DOI： |
| 中文关键词: 非线性微分方程,未知函数的变换,线性化,充要条件 |
| 英文关键词:non-linear differential equation,unknown-function's transformation,linearization,sufficient and necessary condition, |
| 基金项目: |
| 张学元 |
| 湖南工程学院数理系 湖南湘潭411104 |
| 摘要点击次数: 681 |
| 全文下载次数: 4 |
| 中文摘要: |
| 给出了一类一阶非线性微分方程 ,经未知函数变换可化为一阶线性微分方程的充要条件 ,推广了一系列著名的经典的一阶非线性微分方程的初等解法 |
| 英文摘要: |
| In this paper,a sufficient and necessary condition to the linearization of one kind of one-order non-linear differential equation is given through the transformation of unknown-function,thus,the elementary solutions to a series of famous classic one-order non-linear differential equations are expanded. |
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