On Complex Oscillation Theory of Solutions of Some Higher Order Linear Differential Equations

作     者：Jianren LONG 1,2 1.School of Mathematics and Computer Science,Guizhou Normal University,Guizhou 550001,P.R.China 2.Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,P.R.China 

作者机构：School of Mathematics and Computer ScienceGuizhou Normal University Guizhou 550001 

出 版 物：《Journal of Mathematical Research with Applications》 (数学研究及应用(英文))

年 卷 期：2012年第32卷第4期

页      面：423-430页

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by the National Natural Science Foundation of China (Grant No. 11171080) Foundation of Scienceand Technology Department of Guizhou Province (Grant No. 07) 

主　　题：complex differential equations entire function the growth of order the exponent of convergence of the zeros. 

摘      要：In this paper,we shall use Nevanlinna theory of meromorphic functions to investigate the complex oscillation theory of solutions of some higher order linear differential *** that A is a transcendental entire function with ρ(A)1/*** that k≥2 and f(k)+A(z)f=0 has a solution f with λ(f)ρ(A),and suppose that A1=A+h,where h≡0 is an entire function with ρ(h)ρ(A).Then g(k)+A1(z)g=0 does not have a solution g with λ(g)∞.