一类高阶齐次线性微分方程解的复振荡
Complex Oscilition of the Solutions of a Type of Higher Order Linear Differential Equations
摘要
研究了高阶齐次线性微分方程f（k）＋（Ak-1（z）e^pk-1（z）＋Dk-1（z））f^（k-1）＋…＋（A0（z）e^p0（z）＋D0（z））f=0解的增长性问题,其中pj（z）=ajz^n＋bj,1z^n-1＋…＋bjn,,Aj（z）,Dj（z）是有限级整函数。针对pj（z）中aj（j=0,1,…,k-1）的幅角主值不全相等的情形,得到了方程解的增长级的精确估计。
Abstract
This paper investigates the properties of growth of solutions of higher order Linear Differential equations f（k）＋（A^k-1（z）e^pk-1（z）＋Dk-1（z））f（k-1）＋L＋（A0（z）e^po（z）＋D0（z））f =0, in the pj（z）=aj zn＋bj,1zn-1＋bj,n,Aj（z） and Dj（z） were finite order entire functi
关键词
线性微分方程/增长级/整函数/复振荡Key words
linear differential equations/entire function/order of growth/complex oscilition引用本文复制引用
基金项目
出版年
2011
NETL
NSTL
万方数据