摘要
本文研究了几类高阶迭代级系数微分方程存在某个系数对方程的解的性质起支配作用时,方程解的增长性问题.利用Nevanlinna理论与Valiron理论的方法,得到方程解的迭代增长级的精确估计.推广了上述方程对解的性质起支配作用的系数为固定系数时的结果.
In this paper, discussions are the problems about the growth of solutions of some kinds of higher order differential equations with coefficients of iterated order and some of whieh is mainly dominating to the properties of solutions of the equations. Some precise estimates of iterated order of solutions are obtained by applying the methods of Nevanlinna＇s Theory and Wiman-Valiron＇s Theory. The results of the above equations with fixed coefficient which is dominating to the properties of solutions is extended.
出处
《数学杂志》
CSCD
北大核心
2009年第4期483-486,共4页
Journal of Mathematics
基金
国家自然科学基金资助项目(10471048)
高等学校博士学科点专项科研基金项目(20050574002)
关键词
线性微分方程
迭代级
Linear differential equation
Iterated order
