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Non-linear differential equations with transcendental meromorphic solutions

Published online by Cambridge University Press:  09 April 2009

Katsuya Ishizaki  and
Yuefei Wang
Katsuya Ishizaki
Affiliation:
Department of Mathematics Nippon Institute of Technology4-1 Gakuendai Miyashiro Minanisaitama Saitama 345-8501Japan e-mail: ishi@nit.ac.jp
Yuefei Wang
Affiliation:
Institute of Mathematics, AMSS Chinese Academy of Sciences Beijing 100080China e-mail: wangyf@math03.math.ac.cn
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Abstract

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In this paper we treat two non-linear differential equations which come from complex dynamics theory. We give a complete classification of the equations when they possess transcendental meromorphic solutions.

Keywords

meromorphic functionnon-linear differential equationNevanlinna theory
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 70 , Issue 1 , February 2001 , pp. 88 - 118
Copyright
Copyright © Australian Mathematical Society 2001

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