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一类二阶迭代微分方程的伪概周期解

魏祖兰 赵侯宇 陈焦

应用数学2026,Vol.39Issue(2):436-443,8.
应用数学2026,Vol.39Issue(2):436-443,8.

一类二阶迭代微分方程的伪概周期解

Pseudo Almost Periodic Solutions for a Class of Second-Order Iterative Differential Equations

魏祖兰 1赵侯宇 1陈焦1

作者信息

  • 1. 重庆师范大学数学科学学院,重庆 401331
  • 折叠

摘要

Abstract

This paper mainly studies the pseudo almost periodic solutions of a second-order iterative differential equation.First,using Tikhonov fixed point theorem,we get the existence of the pseudo almost periodic solutions of this equation.Further,the uniqueness and stability of the pseudo almost periodic solutions have been proved by Contraction mapping principle,and apply our results to some examples.

关键词

迭代微分方程/伪概周期解/存在性/唯一性

Key words

Iterative differential equation/Pseudo almost periodic solution/Existence/Uniqueness

分类

数理科学

引用本文复制引用

魏祖兰,赵侯宇,陈焦..一类二阶迭代微分方程的伪概周期解[J].应用数学,2026,39(2):436-443,8.

基金项目

国家自然科学基金(12271070,12471153) (12271070,12471153)

重庆市留创计划(cx2023094) (cx2023094)

重庆市教委科技项目(KJQN202100524) (KJQN202100524)

应用数学

1001-9847

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