理论数学

Vol.3 No.4 (July 2013)

一类Riccati微分方程亚纯解的性质
Properties of a Class of Meromorphic Solutions of Differential Riccati Equations

 

作者:

李 升 , 陈宝琴 :广东海洋大学理学院

 

关键词:

Riccati微分方程零点极点不动点Riccati Differential Equation Zeros Poles Fixed Points

 

摘要:

对系数均为有理函数的Riccati微分方程,我们在某些特殊条件下,给出了其亚纯解的增长级,极点收敛指数,零点收敛指数和不动点收敛指数的精确估计。

For the meromorphic solution of differential Riccati equations whose coefficients are all rational functions, we give sharp estimates of the order of growth of it, and the exponents of convergence of the zeros, poles and fixed points of it for certain special cases.

文章引用:

李 升 , 陈宝琴 (2013) 一类Riccati微分方程亚纯解的性质。 理论数学, 3, 244-247. doi: 10.12677/PM.2013.34037

 

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