高阶非齐次线性微分方程的增长性(英文)

Growth of Nonhomogenous Higher Order Linear Differential Equations

研究了线性微分方程f(k)+Ak-1(z)f(k-1)+…+A1(z)f′+A0(z)f=H(z)解的增长性问题,其中Aj(j=0,1,…,k-1)和H(z)为有穷级整函数,并且某一Aj的最大模满足一定条件.

The growth of solutions of linear differential equations f（k）＋Ak-1（z）f（k-1）＋…＋A1（z）f′＋A0（z）f=H（z） is studied,where Aj（j=0,1,…,k-1） and H（z） are entire functions of finite order,one of Aj satisfies some condition on the maximum modulus.