亚纯系数的高阶线性微分方程的解的增长性

本文研究亚纯系数的高阶线性微分方程,当方程系数满足一定条件时,得到方程的每一非零亚纯解具有无穷级且超级为n.此外,还研究了非齐次线性微分方程的亚纯解.     

Fixed Points and Hyper Order of Differential Polynomials Generated by Solutions of Differential Equation

This article studies the problem on the fixed points and hyper-order of differential polynomials generated by solutions of two type of second order differential equations. Because of the control of differential equation, we can obtain some precise estimates of their hyper-order and fixed points.     

二阶齐次与非齐次线性微分方程亚纯解的零点与增长性质估计

本文研究了方程f"+A(z)f'+B(z)f=0与f"+A(z)f'+B(z)f=F亚纯解的零点与增长性,其中A(z),B(z)((≠)0),F(z)((≠)0)为亚纯函数,得到了方程亚纯解的增长级、下级、超级、二级不同零点收敛指数等的精确估计,改进了Kwon Ki-Ho、陈宗煊与杨重骏、Benharrat Bela(i)di等的结果.     

与线性微分多项式有一个公共值的整函数

本文研究了与线性微分多项式有一个公共值的整函数.利用值分布和复震荡理论,获得了当整函数与其线性微分多项式有一个CM公共值时它们之间的关系,推广了已有的结果.     

The growth of meromorphic solutions for a class of higher-order linear differential equations

In this article, the growth of meromorphic solutions for a class of higher-order linear differential equation with meromorphic coefficients is investigated by applying the method of value distribution, and some estimates for the hyper-order of their solutions are obtained.