二阶线性非齐次微分方程解的增长性

On the Growth of Solutions of Second Order Linear Non-Homogeneous Differential Equations

研究了线性非齐次微分方程f″ +Af′+Bf=F的无穷级解的增长性 .其中A ,B为整函数 ,F为有限级整函数 .当A(或B)比B(或A)有较大增长级时 。

In this paper,the authors investigate the growth of infinite order solutions of linear non-homogeneous differential equations f ″+Af ′+Bf=F,where,A,B are entire functions,F is an entire function of finite order.When A(or B)has larger growth than B(or A),the authors estimate the hyper-order of infinite order solutions of the above equation.