首页 | 本学科首页   官方微博 | 高级检索  
     检索      

一类高阶线性微分方程解的增长性
引用本文:袁蓉,刘慧芳.一类高阶线性微分方程解的增长性[J].数学的实践与认识,2017(2):243-249.
作者姓名:袁蓉  刘慧芳
作者单位:江西师范大学 数学与信息科学学院,江西 南昌,330022
基金项目:国家自然科学基金(11661044;11201195),江西省自然科学基金(20132BAB201008)
摘    要:研究整函数系数高阶线性微分方程f~((k))+A_(k-1)f~((k-1))+…+A_0f=0解的增长性.利用亚纯函数的Nevanlina值分布理论,得到当系数A_s(s≠0)为满足杨不等式极端情况的整函数,A_0满足一定条件时,上述方程的每个非零解均为无穷级,并给出解的超级估计.

关 键 词:整函数  杨不等式  微分方程  增长级

On the Growth of Solutions of Certain Higher Order Linear Differential Equation
YUAN Rong,LIU Hui-fang.On the Growth of Solutions of Certain Higher Order Linear Differential Equation[J].Mathematics in Practice and Theory,2017(2):243-249.
Authors:YUAN Rong  LIU Hui-fang
Abstract:In this paper,we investigate the growth of solutions of higher order linear differential equation f(k) + Ak-1f(k-1) +… + A0f =0 with entire coefficients.By using the Nevanlinna's value distribution theory,and assume that As(s ≠ 0) is extremal for Yang's inequality,we obtain that every nontrivial solution of the above equation is of infinite order under some conditions on A0.We also obtain the estimate on the hyper-order of its solutions.
Keywords:entire function  Yang's inequality  differential equation  growh of order
本文献已被 CNKI 万方数据 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号