Local analytic solutions of an iterative functional differential equation near resonance

被引：0

作者：

Phanwan, Jiraphorn Somsuwan ^{[1
]}

Kumla, Adchara ^{[1
]}

Kalaoka, Wiratchada ^{[1
]}

机构：

[1] Nakhon Phanom Univ, Fac Sci, Dept Math, Nakhon Phanom, Thailand

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE | 2022年 / 17卷 / 03期

关键词：

Functional differential equation; analytic solution; Brjuno number;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we find an analytic solution of a functional differential equation of the form x'(z) = x(az + b/x'(z)) in the complex field. By reducing the equation to an auxiliary equation, we describe an existence theorem to the analytic solutions of the primary equation.

引用

页码：975 / 983

页数：9