单位圆内线性齐次微分方程解与系数的关系及应用  

RELATION BETWEEN COEFFICIENTS AND SOLUTIONS OF LINEAR HOMOGENEOUS DIFFERENTIAL EQUATION IN THE UNIT DISC AND ITS APPLICATION

作　　者：郑秀敏[1,2] 陈宗煊[1] 

机构地区：[1]华南师范大学数学科学学院,广东广州510631 [2]江西师范大学数学与信息科学学院,江西南昌330022

出　　处：《华南师范大学学报（自然科学版）》2009年第2期12-15,23,共5页Journal of South China Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10871076);广东省自然科学基金资助项目(06025059)

摘　　要：研究了单位圆内高阶线性齐次微分方程线性无关解与系数的关系,推广了复平面上的相关结论.The relation between the coefficients and solutions of linear homogeneous differential equations in the unit disc is investigated,and a similar result as that as in the complex plane is obtained.

关 键 词：单位圆 线性齐次微分方程 线性无关解 

分 类 号：O174.52[理学—数学]