函数组线性相关性与齐次微分方程解空间的关系  

The Relationship between Linear Interrelation of Function Group and Solution Space of Homogeneous Differential Equation

作　　者：郑承民[1] 徐伟[1] 

机构地区：[1]新疆师范大学数学科学学院,新疆乌鲁木齐830054

出　　处：《新疆师范大学学报（自然科学版）》2013年第1期33-36,共4页Journal of Xinjiang Normal University(Natural Sciences Edition)

摘　　要：文章通过举例讨论函数组线性相关性的定义,研究函数组线性相关性的判定命题,得出函数组线性相关性与齐次微分方程解空间的关系。Through the examples to discuss the definition of linear correlation of function groups, and study decision theorems about the linear correlation of function group. It is concluded that the relationship between linear interrelation of function group and solution space of homogeneous differential equation.

关 键 词：线性相关性 朗斯基行列式 基本解组 

分 类 号：O175.1[理学—数学]