In this paper, we point out some similarities between results on the existence and uniqueness of finite order entire solutions of the nonlinear differential equations and differential-difference equations of the form $$f^n+L(z,f)=h.$$ Here n is an integer $\geq 2$, h is a given non-vanishing meromorphic function of finite order, and L(z,f) is a linear differential-difference polynomial, with small meromorphic functions as the coefficients.
"On analogies between nonlinear difference and differential equations." Proc. Japan Acad. Ser. A Math. Sci. 86 (1) 10 - 14, January 2010. https://doi.org/10.3792/pjaa.86.10