Meromorphic Solutions of a Certain Type of Nonlinear Complex Differential Equations

Abstract

The meromorphic solution of the following type of nonlinear complex differential equation

is considered, where P_n−1(f) is a differential polynomial in f with small function coefficients of degree at most n−1, l is a positive integer. The structure of meromorphic solution f satisfying N(r,f)+N(r,1/f)=S(r,f) is obtained. The result still holds in similar complex differential equations with only one dominant term.