On the Entire Solutions of a Nonlinear Differential Equation of Hayman
Caiping Zhuo
China University of Petroleum, Qingdao 266580, P. R. China.
Zanchun Wang
Dongying Vocational College, Dongying 257000, P. R. China.
Weiran L¨u *
China University of Petroleum, Qingdao 266580, P. R. China.
*Author to whom correspondence should be addressed.
Abstract
Aims/ objectives: Hayman [1] proposed to study the meromorphic solutions of nonlinear differential equations of the form:
where κj (j = 0; 1; 2; 3) are constants. In this note, by using a new method, we give a unified and simplified proof for these known results.
Keywords: Entire solutions, differential equation, Nevanlinna theory