Some Results on Nonlinear Difference-Differential Equations

We describe transcendental entire solutions of certain nonlinear difference-differential equations of the forms: f(z)^2+f(z)[af^'(z)+bf(z+c)]+q(z)e^Q(z)f(z+c)=u(z)e^v(z) and f(z)^n+f(z)^n-1[af^'(z)+bf(z+c)]+q(z)e^Q(z)f(z+c)=p_1e^λ_1z+p_2e^λ_2z, where q(z) , Q(z) , u(z) , v(z) are nonzero polynomials, a , b , c , p_i4 , λ_i (i=1,2) are nonzero constants such that λ_1≠λ_2 . Our results are improvements and complements of Li et al. ([ 8 ]). Some examples are given to illustrate our results are accurate.