Acta mathematica scientia, Series B >
EXISTENCE OF MEROMORPHIC SOLUTIONS OF SOME HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS
Received date: 2010-06-18
Revised date: 2011-01-10
Online published: 2013-03-20
Supported by
This research is supported by the National Natural Science Foundation of China (11101096).
This article discusses the problems on the existence of meromorphic solutions of some higher order linear differential equations with meromorphic coefficients. Some nice results are obtained. And these results perfect the complex oscillation theory of meromorphic
solutions of linear differential equations.
ZHANG Xiao-Mei , SUN Dao-Chun . EXISTENCE OF MEROMORPHIC SOLUTIONS OF SOME HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS[J]. Acta mathematica scientia, Series B, 2013 , 33(2) : 600 -608 . DOI: 10.1016/S0252-9602(13)60023-5
[1] Laine I. Nevanlinna Theory and Complex Differential Equations. Berlin: W. de Gruyter, 1993
[2] Wang R H, Wu Z Q. Lecture of ordinary differential equation. Beijing: People’s Education Press, 1963 (in Chinese)
[3] Hayman W K. Meromorphic Functions. Oxford: Clarendon Press, 1964
[4] Bank S B. On the existence of meromorphic solutions of differential equations having arbitrarily rapid growth. J Reine Angew Math, 1976, 288: 176–182
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