数学物理学报(英文版) ›› 2017, Vol. 37 ›› Issue (3): 732-751.doi: 10.1016/S0252-9602(17)30034-6

• 论文 • 上一篇    下一篇

MEROMORPHIC SOLUTIONS OF SOME TYPES OF COMPLEX DIFFERENTIAL-DIFFERENCE EQUATIONS

王钥   

  1. College of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang 050061, China
  • 收稿日期:2016-01-26 修回日期:2016-06-06 出版日期:2017-06-25 发布日期:2017-06-25
  • 作者简介:Yue WANG,E-mail:wy2006518@163.com
  • 基金资助:
    The work is supported by the National Natural Science Foundation of China (11171013),and is also supported by the Fundamental Research Funds for the Central Universities and the Research Funds of Renmin University of China (16XNH117).

MEROMORPHIC SOLUTIONS OF SOME TYPES OF COMPLEX DIFFERENTIAL-DIFFERENCE EQUATIONS

Yue WANG   

  1. College of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang 050061, China
  • Received:2016-01-26 Revised:2016-06-06 Online:2017-06-25 Published:2017-06-25
  • Supported by:
    The work is supported by the National Natural Science Foundation of China (11171013),and is also supported by the Fundamental Research Funds for the Central Universities and the Research Funds of Renmin University of China (16XNH117).

摘要: Using Nevanlinna theory of the value distribution of meromorphic functions, we investigate the problem of the existence of meromorphic solutions of some types of complex differential-difference equations and some properties of meromorphic solutions, and we obtain some results, which are the improvements and extensions of some results in references. Examples show that our results are precise.

关键词: Value distribution, meromorphic solutions, complex differential-difference equations

Abstract: Using Nevanlinna theory of the value distribution of meromorphic functions, we investigate the problem of the existence of meromorphic solutions of some types of complex differential-difference equations and some properties of meromorphic solutions, and we obtain some results, which are the improvements and extensions of some results in references. Examples show that our results are precise.

Key words: Value distribution, meromorphic solutions, complex differential-difference equations