三类四阶非线性微分方程的可解条件  

The solvable condition for three classes of fourth order non - linear differential equation

作　　者：谭丹英[1] 

机构地区：[1]临沧教育学院数学系,云南临沧677000

出　　处：《楚雄师范学院学报》2003年第6期17-19,共3页Journal of Chuxiong Normal University

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。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.

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 

分 类 号：O175.14[理学—数学]