一类二阶非齐次微分方程解的增长性与不动点(英文)  

The Growth and Fixed Points of Solutions of a Type of Second Order Non-homogeneous Differential Equations

作　　者：陈玉[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：《应用数学》2016年第1期117-124,共8页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China(11201195)

摘　　要：本文研究方程f′′+A(z)f′+B(z)f=F解的增长性、解及其导数的不动点问题,其中A(z),B(z)(不恒等于0),F(z)(不恒等于0)是整函数,F的级为无穷.得到方程解的超级、二级不同零点收敛指数、方程解及其一阶和二阶导数的二级不动点收敛指数等的精确估计.In this paper,we investigate the growth and fixed points of solutions and their derivatives of the equations f″＋A（z）f′＋B（z）f=F, where A（z）, B（z）（ 0）, F（z）（ 0） are entire functions with σ（F） = ∞.We obtain some precise estimates of the hyper-order,the hyper-exponent of convergence of distinct zeros of the solutions, and the hyper-exponent of convergence of fixed points of the solutions and their 1st, 2nd derivatives of the equations.

关 键 词：微分方程 整函数 超级 二级不同零点收敛指数 不动点 

分 类 号：O175.1[理学—数学]