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

• 作 者: Jianren LONG
• 机 构: SchoolofMathematicsandComputerScience,AcademyofMathematicsandSystemsScience
• 出 处: 数学研究及应用：英文版
• 发表日期: 2012年4期
• 关键词: 高阶线性微分方程 复振荡理论 微分方程解 NEVANLINNA理论 超越整函数 亚纯函数 溶液 complex differential equations e
• 基金项目: Supported by the National Natural Science Foundation of China （Grant No. 11171080）,Foundation of Scienceand Technology Department of Guizhou Province （Grant No. [2010] 07）

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 equation.Suppose that A is a transcendental entire function with ρ(A)<1/2.Suppose