Entire solutions of one certain type of nonlinear differential-difference equations

We describe the entire solutions for two kinds of nonlinear differential-difference equations of the form fn(z)+ωfn−1(z)f′(z)+q1(z)eQ1(z)fc1+q2(z)eQ2(z)fc2=u(z)ev(z),n≥3 and fn(z)+q(z)eQ(z)f(z+c)=u(z)ev(z),n≥2, where q,Q,u,v,qj(z),Qj(z), for j=1,2, are polynomials such that Q(z) and at least one of Qj(z) are not constants, q(z) and qj(z) are not identically zero, and ω,c1,c2,c are constants. Our results improve and generalize some previous results.