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March 6, 2026Open Mathematics0 citationsOpen Access

On entire solutions of a type of system of complex differential-difference equations with  k -th order derivatives

RZRan-Ran ZhangCCChuang-Xin ChenJLJian-Quan Liao

Key Points

  • This research aims to investigate entire solutions of Fermat type differential-difference equations with k-th order derivatives.
  • Examine complex differential-difference equations of Fermat type.
  • Analyze the behavior of solutions related to k-th order derivatives.
  • Utilize mathematical techniques to derive conditions for entire solutions.
  • Establishment of conditions under which entire solutions exist.
  • Identification of properties unique to Fermat type differential-difference equations.
  • Demonstrated significance in mathematical analysis of the proposed equations.

Abstract

Abstract In this paper, we consider the entire solutions of the system of Fermat type differential-difference equations with k -th order derivatives (0.1) w 1 ( k ) ( z ) 2 + p 1 w 2 ( z + c ) 2 = Q 1 ( z ) , w 2 ( k ) ( z ) 2 + p 2 w 1 ( z + c ) 2 = Q 2 (

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Cite This Study

Zhang et al. (2026) studied this question.

synapsesocial.com/papers/69aa7077531e4c4a9ff5a39fhttps://doi.org/10.1515/math-2025-0232
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