Solutions of systems of certain Fermat-type PDDEs
Raju Biswas, Rajib Mandal
TL;DR
This paper investigates the existence and forms of finite order entire and meromorphic solutions to certain Fermat-type partial differential-difference equations in several complex variables, refining previous results.
Contribution
It provides new conditions and generalizations for solutions of Fermat-type PDDEs, extending earlier research by Xu et al.
Findings
Identifies conditions for existence of finite order solutions.
Provides examples supporting the theoretical results.
Refines previous theorems on Fermat-type PDDEs.
Abstract
The objective of this paper is to investigate the existence and the forms of the pair of finite order entire and meromorphic solutions of some certain systems of Fermat-type partial differential-difference equations of several complex variables. These results represent some refinements and generalizations of the earlier findings, especially the results due to Xu {\it et al.} (J. Math. Anal. Appl. 483(2) (2020)). We provide some examples to support the results.
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