On Entire Solutions of Two Certain Types of Non-Linear Differential-Difference Equations

In this paper,we mainly investigate entire solutions of the following two non-linear differential-difference equations f~n(z)+ωf~((n-1))(z)f′(z)+f~((k))(z+c)=pe+pe,n≥5 and f~n(z)+ωf~((n-1))(z)f′(z)+q(z)f~((k))(z+c)e~(Q(z))=pe+pe,n≥4,where k≥0 is an integer,c,ω,p,p,α,αare non-zero constants,q(z) is a non-vanishing polynomial and Q(z) is a non-constant polynomial.Under some additional hypotheses,we analyze the existence and expressions of transcendental entire solutions of the above equa‐tions.