一类二阶迭代泛函微分方程的解析解

Analytic solutions of a class of second-order iterative functional differential equations

摘要

摘要:在复数域上,利用Schröder变换将一类二阶迭代泛函微分方程化为不含未知函数的辅助方程,采用优级数法得到该辅助方程在三种情况下的解析解,进而得到这类二阶迭代泛函微分方程的可逆解析解的存在性.

Abstract:n the complex field, a class of second-order iterative functional differential equations is transformed into auxiliary equations without unknown functions by Schröder transformation.And the analytic solutions of the auxiliary equations in three cases are obtained by using the method of superior series. Then the existence of reversible analytic solutions of this kind of second-order iterative functional differential equations is obtained.