On the entire solutions of certain class of non-linear differential equations

AbstractBy using the fundamental theorems of Nevanlinna theory for meromorphic functions, one can determine whether the following type of non-linear differential equation Pn(z) fn(z) + Pn−1(z) fn−1(z) + ··· + P1(z) f(z) + P0(z) + f′(z) = Q1(z) emp(z) + Q2(z) ekp(z) has entire solutions or not, where p(z), Pi(Z)(I = 0, 1, 2,…, n) and Qi(z) (j = 1, 2) are polynomials, and m, k are integers