复高阶代数微分方程的两类解

Two Types of Solutions of Complex Order-higher Algebraic Differential Equations

利用亚纯函数的Nevanlinna值分布理论 ,讨论了一类高阶代数微分方程的超越亚纯解和代数体解的存在性问题 ,得到了

Using Nevanlinna theory of the value distribution of meromorphic functions,we investigate the problem of the existence of transcendental meromorphic solutions and algebraical solutions of some higher-order algebraic differential equations and obtain two further results.