中文摘要：

利用Nevanlinna理论和Wiman-Valiron理论,研究了代数微分方程没有允许解的问题,给出了几类非线性微分方程整函数解的结构,并利用这些结果将Hayman定理推广到微分多项式,综述了在非线性复微分方程及其应用研究中的最新进展.

英文摘要：

The problem that an algebraic differential equation has no admissible meromorphic solution is studied by using Nevanlinna＇ s theory and Wiman-Valiron theory. The structures of the entire solutions of some nonlinear differential equations are given,and the Hayman＇s theorems to some differential polynomials are extended by using these results. Finally,a survey of his groups＇ recent researches about non-linear complex differential equations and their applications is given.