Journal of East China Normal University(Natural Science) >

2018 , Vol. 2018 >Issue 1: 50 - 58

DOI: https://doi.org/10.3969/j.issn.1000-5641.2018.01.006

Meromorphic solutions of some type of system of differential and difference equations

  • YANG Yan-yan ,
  • WEI Wen-long ,
  • HUANG Zhi-gang
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  • College of Mathematics and Physics, Suzhou University of Science and Technology, Suzhou Jiangsu 215009, China

Received date: 2017-02-27

  Online published: 2018-01-11

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Abstract

This article investigates some properties of meromorphic solutions of the type of system of differential-difference equations of the following form

where n ≥ 4,p1(z)、p2(z) are non-zero polynomials, and h1(z),h2(z) are entire functions. By using Nevanlinna theorem, we have obtained the solution of above equation is unique. We also discuss the conditions for several types of system of differential-difference equations if the systems of equations actually pose meromorphic solutions of finite order.

Key words： Nevanlinna theory; system of equations; differential-difference equation; meromorphic solution

Cite this article

YANG Yan-yan , WEI Wen-long , HUANG Zhi-gang . Meromorphic solutions of some type of system of differential and difference equations[J]. Journal of East China Normal University(Natural Science), 2018 , 2018(1) : 50 -58 . DOI: 10.3969/j.issn.1000-5641.2018.01.006

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