THE VALUE DISTRIBUTION OF ALGEBROID SOLUTION OF A TYPE OF COMPLEX HIGHER-ORDER ALGEBRAIC DIFFERENTIAL EQUATIONS
In this paper, we mainly use Nevanlinna theory of the value distribution of meromorphic functions or algebroid functions and the property of higher-order derivative of functions to investigate the problem of the value distribution of algebroid solutions of some algebraic differential equations. A result of the deficient values of a type of higher-order algebraic differential equations is obtained on the condition that the equations exist admissible algebroid solutions and meet some proper conditions, and the result of paper [3] is generalized.
algebraic differential equations, admissible algebroid solutions, value distribution.