标题:
一类高阶周期微分方程的解和小函数的关系The Relation between Solutions of a Class of High-er-Order Periodic Differential Equations with Functions of Small Growth
作者:
娄伟, 陈宗煊
关键字:
高阶微分方程, 收敛指数, 整函数, 不动点, 超级Higher-Order Differential Equations; Fixed Point; Convergence Exponent; Entire Function;
Hyperorder
期刊名称:
《Pure Mathematics》, Vol.2 No.4, 2012-11-01
摘要:
在本文中研究了一类高阶周期微分方程的解和它们的一阶，二阶导数与小函数之间的关系，进而探讨这类解的不动点及超级的问题，得到它们的不动点性质，由于受到周期微分方程的制约，与一般整函数的不动点性质相比有所不同。
In this paper we research the relation between solution of a class of higher-order periodic differential equations with their first derivative, second derivative and functions of small growth. And then discuss fixed points and hyperorder of the class of solutions to get the character of their fixed points. Under the condition of the higher-order periodic differential equations, the character of their fixed points is different from other general entire functions’.