节点文献
单位圆内二阶线性微分方程的解与小函数的关系
The Relation Between Solutions of Second Order Linear Differential Equations and Small Functions in the Unit Disc
【摘要】 讨论了系数是单位圆内解析函数的二阶齐次和非齐次线性微分方程的解及其一阶导数和二阶导数与小函数之间的关系,并得到了它们之间的精确估计.
【Abstract】 This paper investigates the relation between solutions of second order homogeneous and non-homogeneous linear differential equations whose coefficients are analytic functions in the unit disc and their small functions,and obtain the precise estimate.
【关键词】 线性微分方程;
小函数;
收敛指数;
【Key words】 linear differential equation; small functions; convergence exponent;
【Key words】 linear differential equation; small functions; convergence exponent;
【基金】 国家自然科学基金(10471048);高等学校博士学科点专项科研基金(20050574002)
- 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2010年08期
- 【分类号】O241.8
- 【被引频次】5
- 【下载频次】82