Analytic solutions of an iterative equation with second order derivatives

被引：0

作者：

Liu, HZ ^{[1
]}

Li, WR ^{[1
]}

机构：

[1] Binzhou Univ, Dept Math, Shandong 256603, Peoples R China

来源：

DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS | 2006年 / 13卷

关键词：

iterative differential equation; analytic solution; majorant series; auxiliary equation; Schroder transformation;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a nonlinear iterative functional equation with second-order derivatives is considered. By reducing the equation with Schroder transformation to another functional equation,we prove the existence of its local analytic solutions based on the means of majorant series,and discuss the different cases that the constant 3 is given in the Schroder transformation.

引用

页码：1030 / 1037

页数：8

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