一类非齐次复微分方程解的增长性

The Growth of Solutions of Some Non-homogeneous Differential Equations

研究了一类线性非齐次微分方程f(k)+ak-1f(k-1)+…+a1f-′(eQ(z)-a0)f=eQ(z)+F(z)解的增长性,其中aj(j=0,1,…,k-1)为常数,Q(z)为非常数多项式,F(z)为级小于deg Q的整函数.

In this paper, we investigated the growth of solutions of f^（k）＋ak-1f（k-1）＋…＋a1f′-（e^Q（z）-a0）f=e^Q（z）＋F（z） where aj（j=0,1,….k-1） are constants, Q（z） is a non-constant polynomial, and F（z） is an entire function of order less than deg Q.