On meromorphic solutions of certain nonlinear differential equations

In this paper, we consider the growth of meromorphic solutions of nonlinear differential equations of the form L(f) + P(z,f) = h(z), where L(f) denotes a linear differential polynomial in f, P(z, f) is a polynomial in f, both with small meromorphic coefficients, and h(z) is a meromorphic function. Specialising to L(f)-p(z)f(n) = h(z), where p(z) is a small meromorphic function, we consider the uniqueness of meromorphic solutions with few poles only. Our results complement earlier ones due to C.-C. Yang.