Acta mathematica scientia, Series B >
SUBNORMAL SOLUTIONS OF DIFFERENTIAL EQUATIONS WITH PERIODIC COEFFICIENTS
Received date: 2008-06-02
Online published: 2010-01-20
Supported by
This project was supported by the Brain Pool Program of Korean Federation of Science and Technology Societies (072-1-3-0164) and by the National Natural Science Foundation of Guangdong Province in China (10871076).
The second author was supported by the Research Fund Program of Research Institute for Basic Sciences, Pusan National University, Korea, 2008, Project No. RIBS-PNU-2008-101.
In this article, we apply the concept of hyper-order to higher order linear differential equations with periodic
coefficients, investigate the existence and the form of its subnormal solution, and estimate the growth of all other solutions, and answer the question raised by Gundersen and Steinbart for more general periodic differential equations.
Key words： periodic equation; subnormal solution; hyper order
CHEN Zong-Xuan , SUN Guang-Gao . SUBNORMAL SOLUTIONS OF DIFFERENTIAL EQUATIONS WITH PERIODIC COEFFICIENTS[J]. Acta mathematica scientia, Series B, 2010 , 30(1) : 75 -88 . DOI: 10.1016/S0252-9602(10)60024-0
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