文章引用说明 更多>> (返回到该文章)

S. A. Gao. On the complex oscillation of solutions of non-homogeneous linear differential equations with polynomial coefficients. Comment mathematici Universitatis Sancti Pauli, 1989, 38(1): 11-20.

被以下文章引用:

• 标题: 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

  作者: 刘薇, 陈宗煊

  关键字: 微分方程, 整函数, 小函数, 收敛指数Differential Equation; Entire Function; Function of Small Growth; Exponent of Convergence

  期刊名称: 《Pure Mathematics》, Vol.1 No.3, 2011-10-31

  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.