摘要
证明存在非常数多项式P1(z) =ζ1zn+… ,P2 (z) =ζ2 zn+…和级小于n的整函数Q ,0 <ζ2 / ζ1<1使方程 f″+(eP1(z) +eP2 (z) +Q) f =0有非平凡解 f满足λ(f)≤n .回答了K .
In this paper,we proved following result.There exists non constant polynomialsP 1(z)=ζ 1z n+…,P 2(z)=ζ 2z n+… and entire function that the order is less than n,where 0<ζ 2/ζ 1<1,such that the equation f″+(e P 1(z) +e P 1(z) +Q)f=0 has a non trivial solution that satisfies λ(f)≤n.We answered the question that Ishizaki poses.
出处
《江西师范大学学报（自然科学版）》
CAS
2000年第1期12-14,共3页
Journal of Jiangxi Normal University(Natural Science Edition)
关键词
复振荡理论
零点收敛指数
线性微分方程
二阶
complex oscillation theorem
exponent of convergence of the zero sequence
linear differential equation
