变系数线性系统化为可解系统的条件  

SEVERAL TRANSFER CONDITIONS OF TRANSFORMING SYSTEM OF VARIABLE COEFFICIENT LINEAR SYSTEM INTO SOLVABLE SYSTEM OF EQUATIONS

作　　者：杨启贵[1] 

机构地区：[1]广西师范大学数学系,广西桂林541004

出　　处：《广西师范大学学报（自然科学版）》2002年第3期31-35,共5页Journal of Guangxi Normal University:Natural Science Edition

基　　金：广西自然科学基金资助项目 (0 2 3 60 1 2 )

摘　　要：研究了 n阶变系数齐次线性方程组可化为某些可解方程组的问题 ,应用变量代换得到了三个可化为可解方程组的充要条件 .The problems for transforming system ofn-order variable coefficient homogenous linear ordinary differential equations into some solvable system of equations are disscussed and three necessary and sufficient conditions for transforming system of variable coefficient equations into solvable system of equations are given,which are the aid of change of a variable.

关 键 词：变系数线性系统 可解系统 常微分方程组 通解 转化条件 转化思想 变量代换 

分 类 号：O175.1[理学—数学] O241.81[理学—基础数学]