摘要
研究了非齐次线性微分方程f(k)+Ak-1f(k-1)+…+A1f′+A0f=F的增长性问题,其中A0,A1,…,Ak-1,F是整函数,当存在系数A1为缺项级数且比其它系数有较快增长的意义下时,得到了上述非齐次微分方程在一定条件下超越解超级的精确估计.
In this paper, by using the Nevanlinna value distribution theory, we investigate the growth of solutions of the differential equation f^（k）＋Ak-1f（k-1）＋…＋A1f＇＋A0f=F ,where A0,… ,Ak-1,F are entire functions and the dominant coefficient A1 has fabry gap, we obtain general estimates of the growth and zeros of entire solutions of higher order linear differential equations.
出处
《江西师范大学学报（自然科学版）》
CAS
北大核心
2006年第3期237-240,共4页
Journal of Jiangxi Normal University(Natural Science Edition)
基金
国家自然科学基金资助项目(10161006)
