江西师范大学学报(自然科学版)
江西師範大學學報(自然科學版)
강서사범대학학보(자연과학판)
JOURNAL OF JIANGXI NORMAL UNIVERSITY(NATURAL SCIENCES EDITION)
2014年
6期
551-556
,共6页
闵小花%张红霞%易才凤
閔小花%張紅霞%易纔鳳
민소화%장홍하%역재봉
微分方程%整函数%超级%2级收敛指数
微分方程%整函數%超級%2級收斂指數
미분방정%정함수%초급%2급수렴지수
differential equation%entire function%hyper-order%2 th exponents of convergence
运用Nevanlinna值分布的基本理论和方法,研究了几类2阶线性微分方程的解及其导数取小函数的不同点的收敛指数,得到了方程解及其导数取小函数的不同点的收敛指数为无穷和2阶收敛指数等于解的超级的精确结果。
運用Nevanlinna值分佈的基本理論和方法,研究瞭幾類2階線性微分方程的解及其導數取小函數的不同點的收斂指數,得到瞭方程解及其導數取小函數的不同點的收斂指數為無窮和2階收斂指數等于解的超級的精確結果。
운용Nevanlinna치분포적기본이론화방법,연구료궤류2계선성미분방정적해급기도수취소함수적불동점적수렴지수,득도료방정해급기도수취소함수적불동점적수렴지수위무궁화2계수렴지수등우해적초급적정학결과。
It was investigated that the relations between solutions of second order linear differential equations and their 1 th and 2 th derivatives with the small growth functions by using the theory and the method of Nevanlinna val-ue distribution. The precision result was obtained that convergence exponents of various points of equation solutions and their derivatives fetch the small growth function is infinite and the 2 th convergence exponents with the hyper or-der of solution is equal.