一类复代数微分方程组解的级

THE ORDER OF THE SOLUTION OF A TYPE OF SYSTEMS OF COMPLEX ALGEBRAIC DIFFERENTIAL EQUATIONS

本文利用Zalcman引理研究了一类高阶代数微分方程组解的级的问题,将 S.Bank和R.Kaufman,G.Garsegian,以及A.A.Gol’dberg等人的有关代数微分方程的一个结果推广至一类微分方程组中.

Using Zalcman Lemma, we investigate the problem of the order of the solution of a type of systems of higher-order algebraic differential equations, a result of S. Bank, R.Kaufman, G.Garsegian, and A.A.Gol’dberg concerning meromorphic solutions of differential is generalized in a type of systems of algebraic differential equations.