On the Exponent of Convergence for the Zeros of the Solutions of y"+Ay′+By=0

被引：0
|
作者：
Alotaibi, Abdullah [1 ]
机构：
[1] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2010年
关键词：
Positive Constant; Entire Function; Meromorphic Function; Nontrivial Solution; Linear Differential Equation;
D O I：
10.1155/2010/428936
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let B and C be entire functions of order less than 1 with C not equivalent to 0 and B transcendental. We prove that every solution f not equivalent to 0 of the equation y '' Ay' + By = 0, A(z) = C(z)e(alpha z), alpha is an element of C \ {0} being has zeros with infinite exponent of convergence.
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页数：8
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