| 三类四阶非线性微分方程的可解条件 |
| |
| 引用本文： | 谭丹英.三类四阶非线性微分方程的可解条件[J].楚雄师范学院学报,2003,18(6):17-19. |
| |
| 作者姓名： | 谭丹英 |
| |
| 作者单位： | 临沧教育学院数学系,云南,临沧,677000 |
| |
| 摘 要： | 借助变量替换法、交换变量位置法与求导法则，给出三类四阶非线性微分方程具有某种形式的解的充要条件，所得结论是对有关文献结果的深化与拓广。
|
| 关 键 词： | 四阶 非线性微分方程 变量替换 交换变量位置法 充要条件 通解 |
| 文章编号： | 1671-7406(2003)06-0017-03 |
| 修稿时间： | 2003年11月18日 |
The solvable condition for three classes of fourth order non- linear differential equation |
| |
| TAN Danying.The solvable condition for three classes of fourth order non- linear differential equation[J].journal of chuxiong normal university,2003,18(6):17-19. |
| |
| Authors: | TAN Danying |
| |
| Institution: | TAN Danying |
| |
| Abstract: | Based on the method of variable substitute, the method of variable position exchange and the method of derivation , the present paper obtains the necessary and sufficient condition for a certain solution to three classes of fourth order non -linear differential equation. |
| |
| Keywords: | non - linear differential equation the method of variable substitute the method of variable position exchange necessary and sufficient condition general solution |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
