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.

引用

页数：8

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