内江师范学院学报2024,Vol.39Issue(2) :24-30,43.DOI:10.13603/j.cnki.51-1621/z.2024.02.005

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

夏梦莲
内江师范学院学报2024,Vol.39Issue(2) :24-30,43.DOI:10.13603/j.cnki.51-1621/z.2024.02.005

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

夏梦莲1
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作者信息

  • 1. 重庆师范大学数学科学学院,重庆 401331
  • 折叠

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

In the complex field,a class of second-order iterative functional differential equations is transformed into auxil-iary 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.

关键词

二阶迭代泛函微分方程/可逆解析解/优级数法/Schröder变换

Key words

the second-order iterative functional differential equation/reversible analytical solution/superior series meth-od/Schröder transformation

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基金项目

国家自然科学基金项目(11971081)

出版年

2024
内江师范学院学报
内江师范学院

内江师范学院学报

影响因子:0.299
ISSN:1671-1785
参考文献量14
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