EXPONENT OF CONVERGENCE OF SOLUTIONS TO LINEAR DIFFERENTIAL EQUATIONS IN THE UNIT DISC

被引：0

作者：

Berrighi, Nacera ^{[1
]}

Hamouda, Saada ^{[1
]}

机构：

[1] Univ Mostaganem, Lab Pure & Appl Math, Umab, Algeria

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2015年

关键词：

Linear differential equations; exponent of convergence; growth of solutions; unit disc; ITERATED ORDER; OSCILLATION; GROWTH;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study the exponent of convergence of f((i)) - phi where f not equivalent to 0 is a solution of linear differential equations with analytic and meromorphic coefficients in the unit disc and phi is a small function of f. From this results we deduce the fixed points of f((i)) by taking phi(z) = z. We will see the similarities and differences between the complex plane and the unit disc.

引用

页数：11

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