单位圆内二阶线性微分方程的解及其导数的不动点

The Fixed Points of Solutions and Derivatives of Solutions of Second Order Linear Differential Equations in the Unit Disc

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的不动点问题,得到了不动点收敛指数与方程系数的增长级的关系.

This paper investigates the fixed points of solutions of second order homogeneous and non-homogeneous linear differential equations whose coefficients are analytic functions in the unit disc. We obtain the relationship between the convergence exponent of fixed points and the growth of the coefficients.