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AIMS Mathematics

2020, Volume 5, Issue 1: 685-700. doi: 10.3934/math.2020046
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Research article

The existence and forms of solutions for some Fermat-type differential-difference equations

  • 1.
    Department of Informatics and Engineering, Jingdezhen Ceramic Institute, Jingdezhen, Jiangxi, 333403, China
  • 2.
    School of Mathematics and Computer Science, Shangrao Normal University, Shangrao Jiangxi, 334001, China
  • 3.
    Institute of Mathematics and Information Science, Jiangxi Normal University, Nanchan, Jiangxi, 330022, P. R. China
  • Received: 07 October 2019 Accepted: 11 December 2019 Published: 19 December 2019

  • MSC : 30D35, 39A13, 39B72

  • The main aim of this article is to investigate the existence and the forms of solutions for several complex differential-difference equations of Fermat-type. Our results about the existence and the forms of solutions for these Fermat type equations are great improvement of the previous theorems given by Liu, Yang, Cao, Zhang. Moreover, it is a very satisfactory fact that in some examples explicit solutions are given.

    Citation: Hua Wang, Hong Yan Xu, Jin Tu. The existence and forms of solutions for some Fermat-type differential-difference equations[J]. AIMS Mathematics, 2020, 5(1): 685-700. doi: 10.3934/math.2020046

    Related Papers:

  • The main aim of this article is to investigate the existence and the forms of solutions for several complex differential-difference equations of Fermat-type. Our results about the existence and the forms of solutions for these Fermat type equations are great improvement of the previous theorems given by Liu, Yang, Cao, Zhang. Moreover, it is a very satisfactory fact that in some examples explicit solutions are given.


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