Articles

PROPERTIES ON MEROMORPHIC SOLUTIONS OF COMPOSITE FUNCTIONAL-DIFFERENTIAL EQUATIONS

  • Manli LIU ,
  • Lingyun GAO
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  • 1. School of Mathematics, Shandong University, Jinan 250100, China;
    2. Department of Mathematics, Jinan University, Guangzhou 510632, China

Received date: 2019-02-28

  Revised date: 2019-05-16

  Online published: 2020-05-26

Supported by

This work was partially supported by NSFC of China (11271227,11271161), PCSIRT (IRT1264), the Fundamental Research Funds of Shandong University (2017JC019), and NSFC of Shandong (ZR2018MA014).

Abstract

With the aid of Nevanlinna value distribution theory, differential equation theory and difference equation theory, we estimate the non-integrated counting function of meromorphic solutions on composite functional-differential equations under proper conditions.We also get the form of meromorphic solutions on a type of system of composite functional equations. Examples are constructed to show that our results are accurate.

Cite this article

Manli LIU , Lingyun GAO . PROPERTIES ON MEROMORPHIC SOLUTIONS OF COMPOSITE FUNCTIONAL-DIFFERENTIAL EQUATIONS[J]. Acta mathematica scientia, Series B, 2020 , 40(2) : 557 -571 . DOI: 10.1007/s10473-020-0217-3

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