Entire Solutions and Necessary Conditions for Subnormal Solutions of Two Types of Differential-Difference Equations

Changwen Peng, Huawei Huang and Lei Tao

Journal of Mathematics, 2026, vol. 2026, 1-10

Abstract: This research primarily concerns differential-difference equations of h¯h_+rzhm/h=Mz,h=Uz,h/Fz,hand h¯h_+rzh′/hm=Mz,h=Uz,h/Fz,h, where Uz,h and Fz,h are coprime polynomials in h with rational coefficients, rz is rational, m≥1 is an integer, and h¯=hz+1, h_=hz−1. The main goal of this article is to explore the possible forms of entire solutions to the above equations. Furthermore, necessary conditions for subnormal solutions to exist for both types of differential-difference equations are derived.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:7882199

DOI: 10.1155/jom/7882199

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