Abstract and Applied Analysis

The Hyperorder of Solutions of Second-Order Linear Differential Equations

Guowei Zhang

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Abstract

We prove that the hyperorder of every nontrivial solution of homogenous linear differential equations of type f + A 1 ( z ) e a z f + A 0 ( z ) e b z f = 0 and nonhomogeneous equation of type f + A 1 ( z ) e a z f + A 0 ( z ) e b z f = H ( z ) is one, where A 0 , A 1 , H ( z ) are entire functions of order less than one, improving the previous results of Chen, Wang, and Laine.

Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 626898, 7 pages.

Dates
First available in Project Euclid: 27 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393512019

Digital Object Identifier
doi:10.1155/2013/626898

Mathematical Reviews number (MathSciNet)
MR3095357

Zentralblatt MATH identifier
07095183

Citation

Zhang, Guowei. The Hyperorder of Solutions of Second-Order Linear Differential Equations. Abstr. Appl. Anal. 2013 (2013), Article ID 626898, 7 pages. doi:10.1155/2013/626898. https://projecteuclid.org/euclid.aaa/1393512019


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References

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