ENTIRE SOLUTIONS FOR A NONLINEAR DIFFERENTIAL EQUATION

In this article, we study the existence of solutions to the dieren- tial equation f n (z) + P(f) = P1e h1 + P2e h2, where n 2 is an positive integer, f is a transcendental entire function, P(f) is a dierential polynomial in f of degree less than or equal n 1, P1,P2 are small functions of e z , h1, h2 are polynomials, and z is in the open complex plane C. Our results extend those obtained by Li (6, 7, 8, 9).