Song, ChangjiangLiu, KaiMa, Lei2022-01-312022-01-312018-04-17Song, C., Liu, K., & Ma, L. (2018). Meromorphic solutions to non-linear differential-difference equations. <i>Electronic Journal of Differential Equations, 2018</i>(93), pp. 1-12.1072-6691https://hdl.handle.net/10877/15260We consider the non-linear differential-difference equation c(z)w(z + 1) + α(z) w′(z)/w(z) = R(z, w(z)), where R(z, w(z)) is rational in w(z) with rational coefficients, α(z) and c(z) are non-zero rational functions. We give necessary conditions on the degree of R(z, w) for the above equation to admit a transcendental meromorphic solution of hyper-order ρ2(w) < 1. We also consider the admissible rational solutions of the above equation.Text12 pages1 file (.pdf)enAttribution 4.0 InternationalMeromorphic solutionsDifferential-difference equationsHyper-orderArticle