一类高阶微分方程的代数体允许解

Admissible algebroid solutions of a type of higher-order algebraic differential equations

利用亚纯函数的Nevan linna值分布理论,研究了一类代数微分方程的允许解的存在性问题,改进了N.Toda和M.Kato的一个结果.例子说明了这一改进的结果更精确.

Using the Nevanlinna value distribution theory of meromorphic functions,solution to the existence problem of admissible algebroid solutions of some algebraic differential equations is obtaimed which improves a result of N.Toda and M.Kato.An Example shows that this result is more precise.