复域高阶线性微分方程解的某些振荡结果

摘要

In this paper,we study the growth of solutions of differential equation.By using the theory of value distribution,we obtain some precise estimates of the growth of solutions of the equation.Furthermore,the relations between functions of small growth and the solutions of higher order differential equations,and their first,second derivatives are shown.%本文研究了线性微分方程解的增长性.运用值分布理论,得到方程解的增长的精确估计.进一步,讨论了上述方程解以及解的一阶,二阶导数与小函数的关系.