Acta mathematica scientia,Series B ›› 2017, Vol. 37 ›› Issue (3): 732-751.doi: 10.1016/S0252-9602(17)30034-6

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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).

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

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