一类微分方程解和小函数的关系
The Relation between Solutions of a Class of Differential Equations with Functions of Small Growth
摘要:

在文中研究了微分方程f"+A1f'+A0f=0和 f"+ A0f=0的解以及它们的一阶导数与小函数的关系，其中A0和A1是不恒为零的有限级整函数，其零点收敛指数小于其增长级，且A0/A1的增长级等于A0和A1增长级的最大值。In this paper, we investigate the relation between solutions, their 1st derivatives of equationsf"+A1f'+A0f=0 and f"+A0f=0 and functions of small growth, where A0,A1are entire functions with finite orders and not identically zero.

The exponent of convergence of the zero-sequence of Aj is less than the order of Aj, and the order of A0/A1 equals the maximum of the orders of A0 and A1.

Abstract:
文章引用：刘薇, 陈宗煊. 一类微分方程解和小函数的关系[J]. 理论数学, 2011, 1(3): 177-183. http://dx.doi.org/10.12677/pm.2011.13035

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