Further results of the estimate of growth of entire solutions of some classes of algebraic differential equations

摘要

In this article, by means of the normal family theory we estimate the growth order of entire solutions of some algebraic differential equations and improve the related results of Bergweiler, Barsegian, and others. We also estimate the growth order of entire solutions of a type system of a special algebraic differential equations. We give some examples to show that our results are sharp in special cases. Mathematica Subject Classification (2000): Primary 34A20; Secondary 30D35.