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Entire Solutions of the Second-Order Fermat-Type Differential-Difference Equation

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  • Guoqiang Dang
  • Jinhua Cai
  • Basil K. Papadopoulos

Abstract

In this paper, the entire solutions of finite order of the Fermat-type differential-difference equation f″z2+△ckfz2=1 and the system of equations f1″z2+△ckf2z2=1 and f2″z2+△ckf1z2=1 have been studied. We give the necessary and sufficient conditions of existence of the entire solutions of finite order.

Suggested Citation

  • Guoqiang Dang & Jinhua Cai & Basil K. Papadopoulos, 2020. "Entire Solutions of the Second-Order Fermat-Type Differential-Difference Equation," Journal of Mathematics, Hindawi, vol. 2020, pages 1-8, July.
    • Handle: RePEc:hin:jjmath:4871812
    DOI: 10.1155/2020/4871812
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