MEROMORPHIC SOLUTIONS OF CERTAIN TYPES OF DIFFERENTIAL EQUATIONS WITH K EXPONENTIAL TERMS

【摘要】 In this article,we study the meromorphic solutions of the following non-linear differential equation ■where n and k are integers with n≥ k≥ 3,P_d(z,f) is a differential polynomial in f of degree d≤n-1,p’_j s and α’_j s are non-zero constants.We obtain the expressions of meromorphic solutions of the above equations under some restrictions on α’_j s.Some examples are given to illustrate the possibilities of our results.更多还原

【Abstract】 In this article,we study the meromorphic solutions of the following non-linear differential equation ■where n and k are integers with n≥ k≥ 3,P_d(z,f) is a differential polynomial in f of degree d≤n-1,p’_j s and α’_j s are non-zero constants.We obtain the expressions of meromorphic solutions of the above equations under some restrictions on α’_j s.Some examples are given to illustrate the possibilities of our results.更多还原