一类二阶整函数非齐次线性微分方程的复振荡

Oscillation of a Second Order Non-homogeneous Linear Differential Equations with Entire Coefficients

研究了一类具有整函数系数的二阶非齐次线性微分方程:f″+A(z)e^(P(z))f′+B(z)e^(bz)f=F(z)解的复振荡,其中P(z)为非常数多项式且次数为n,A(z),B(z),F(z)均为整函数,满足max{ρ(A),ρ(B)}<1.证明了方程的任一非零解具有无穷增长级.

In this paper,we are concerned with the oscillation of the second order non-homogeneous lin- ear differential equations f″＋A（z）e^P（z）f′＋B（z）e^（bz）f=F（z）where P（z） is nonconstant polynomial with degree n, A （z）, B （z）, F（z） are entire functions with max max{ρ（A）,ρ（B）}〈1.It is shown that every solutions of the equation have infinite order.