复合函数-微分方程亚纯解的性质

Abstract

Abstract:

The aim of this paper is twofold. Firstly, we consider the existence of solutions to a type of complex functional-differential equations

(w')ⁿw⁽ⁿ⁾=awⁿ⁺¹(g)+bw+d

in complex variables. We obtain g is linear when w is a transcendental meromorphic function and a≠0, b, d are constants. In addition, due to the different properties between equations and system of equations, it is meaningful to research systems of equations, this paper is also concerned with a type of system of functional equations, properties of meromorphic solutions are obtained under some proper conditions. Examples are constructed to show that our results are accurate.

Key words: Meromorphic solutions, Complex functional differential equations, Growth order, Nevanlinna theory

CLC Number:

O174

Manli Liu,Lingyun Gao. Behaviour of Meromorphic Solutions of Complex Functional-Differential Equations[J].Acta mathematica scientia,Series A, 2020, 40(5): 1121-1131.

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Behaviour of Meromorphic Solutions of Complex Functional-Differential Equations

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