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An oscillation result of a third order linear differential equation with entire periodic coefficients*

 

作者: Yik-Man Chiang,   Ilpo Laine,   Shupei Wang,  

 

期刊: Complex Variables, Theory and Application: An International Journal  （Taylor Available online 1997）
卷期: Volume 34, issue 1-2  

页码: 25-34

 

ISSN:0278-1077

 

年代: 1997

 

DOI:10.1080/17476939708815035

 

出版商: Gordon and Breach Science Publishers

 

关键词: differential equation;periodic coefficients oscillation result;AMS No. 34A20;AMS No. 30D35

 

数据来源: Taylor

 

摘要:

We prove that the periodic equationadmits a solution with finite exponent of convergence if and only ifwherenis a non-negative integer satisfying a certain (n+ 1) × (n+ 1)-determinant condition. Moreover, we obtain explicit representations for such solutions. Our result is somewhat similar to a result due to Bank, Laine and Langley [5] for a second order equation.

 

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