两类新的Abel型微分方程的可积判据  

Two Types of New Integral Criterion on Abel Differential Equation

作　　者：冯丽珠[1] 汤光宋[1] 

机构地区：[1]江汉大学数学与计算机科学学院,武汉430056

出　　处：《临沂师范学院学报》2006年第3期1-4,共4页Journal of Linyi Teachers' College

摘　　要：借助变量替换法、交换变量位置法及复合函数求导法则,构造出两类新的Abel型微分方程,论证它们的可积性,提供可积的判据,从而推广有关文献的结论,扩大微分方程的可积范围．Two types of new Abel differential equation are structured by method of variation replacement, variation position transformation and compound function derivation law. Integral of them is proved ,the criterion of the integrable differential equation is given. It extends conclusion in relevant documents, and extends the range of integrable differential equation.

关 键 词：Abel型微分方程 变量替换法 变换变量住置法 复合函数求导法则 可积判据 通积分 

分 类 号：O175.14[理学—数学]