Acta mathematica scientia,Series B ›› 2018, Vol. 38 ›› Issue (2): 471-478.doi: 10.1016/S0252-9602(18)30761-6

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A NOTE ON MALMQUIST-YOSIDA TYPE THEOREM OF HIGHER ORDER ALGEBRAIC DIFFERENTIAL EQUATIONS

Jianjun ZHANG1, Liangwen LIAO2   

  1. 1. Mathematics and Information Technology School, Jiangsu Second Normal University, Nanjing 210013, China;
    2. Department of Mathematics, Nanjing University, Nanjing 210093, China
  • Received:2016-06-28 Revised:2017-07-25 Online:2018-04-25 Published:2018-04-25
  • Contact: Jianjun ZHANG E-mail:zhangjianjun1982@163.com
  • Supported by:

    The research was supported by the Jiangsu Overseas Research and Training Program for University Prominent Young and Middle-aged Teachers and Presidents, Natural Science Foundation of China (11671191, 11426118), Natural Science Foundation of Jiangsu Province (BK20140767), and Qing Lan Project of Jiangsu Province.

Abstract:

In this article, we give a simple proof of Malmquist-Yosida type theorem of higher order algebraic differential equations, which is different from the methods as that of Gackstatter and Laine[2], and Steinmetz[12].

Key words: Malmquist-Yosida type theorem, algebraic differential equations, meromorphic solutions

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