On the Order of Growth of Solutions to Complex Non-homogeneous Linear Differential Equations

被引：0
|
作者：
Habib, Habib [1 ]
Belaidi, Benharrat [2 ]
机构：
[1] Univ Djillali Liabes Sidi Bel Abbes, Lab Biomath, Dept Math, BP 89, Sidi Bel Abbes, Algeria
[2] Univ Mostaganem UMAB, Dept Math, Lab Pure & Appl Math, BP 227, Mostaganem, Algeria
来源：
KYUNGPOOK MATHEMATICAL JOURNAL | 2016年 / 56卷 / 03期
关键词：
Differential equation; characteristic function; entire function exponent of convergence of the sequence of zeros; order of growth;
D O I：
10.5666/KMJ.2016.56.3.819
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the order of growth of solutions to the non-h omogeneous linear differential equation f((k)) + A(k-1)e(az)f((k-1)) +...+ A(1)e(az)f'+A(0)e(az) f = F(1)e(az) + F(2)e(bz), where A(j)(z) (not equivalent to 0) (j = 0,1, ... , k -1), F-j(z) (not equivalent to 0) (j = 1,2) are entire functions and a, b are complex numbers such that ab(a - b) not equal 0.
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页码：819 / 829
页数：11
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