变系数二阶线性齐次微分方程的可积条件  

Integral Conditions of Second Homogeneous Linear Order Differential Equation with Variable Coefficients

作　　者：胡爱莲[1] 

机构地区：[1]喀什师范学院数学系,喀什新疆844008

出　　处：《喀什师范学院学报》2012年第6期1-4,共4页Journal of Kashgar Teachers College

摘　　要：在变系数二阶线性齐次微分方程具有某种特殊解结构的情形下,进行了可积性判据研究,获得了这些方程可积的充分条件.The integral criterions of the second order linear differential equation with variable coefficients, which has a kind of particular solution, are investigated. The integral sufficient conditions of these equations are obtained.

关 键 词：变系数二阶线性齐次微分方程 变量代换 通解 可积性充分条件 

分 类 号：O175.1[理学—数学]