系数为迭代级整函数的高阶线性微分方程的复振荡  

The Complex Oscillation of Higher Order Linear Differential Equations with Coefficients of Finite Iterated Order

作　　者：熊辉[1] 刘慧芳[1] 

机构地区：[1]江西师范大学数学与信息科学学院,江西南昌330022

出　　处：《江西师范大学学报（自然科学版）》2015年第2期211-214,共4页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：国家自然科学基金(11201195);江西省自然科学基金(20122BAB201012)资助项目

摘　　要：研究具有迭代级整函数系数的高阶线性微分方程解的增长性和零点问题.当存在某一系数起主导作用时,得到方程解的迭代级和迭代零点收敛指数的估计,推广了已有的结论.The growth and zeros of solutions of higher order linear differential equations with entire coefficients of finite iterated order are studied. Some estimations on the iterated order and the iterated convergence exponent of zero sequence are obtained,when there exists one dominant coefficients. The obtained results are extensions of some previous results.

关 键 词：微分方程 整函数 迭代级 迭代零点收敛指数 

分 类 号：O174.52[理学—数学]