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Pseudo Almost Periodic Solutions for Second Order Abstract Differential Equations

谢灵红顾晓慧谢建华

西南交通大学学报(英文版)2003，Vol.11Issue(1)：98-102,5.

Pseudo Almost Periodic Solutions for Second Order Abstract Differential Equations

谢灵红 ¹顾晓慧 ²谢建华³

作者信息

1. Department of Applied Mathematics, Southwest Jiaotong University, Chengdu 610031, China
2. College of Mathematics, Sichuan University, Chengdu 610064, China
3. Department of Applied Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031, China
折叠

摘要

Abstract

On the assumption that the Cauchy problem for incomplete second order abstract differential equation (u″(t)=Au(t), -∞＜t＜∞) is well-posed and the Cauchy problem for complete second order abstract differential equation (u″(t)+A1u′(t)+A0u(t)=0, t≥0) is strongly well-posed, the necessary conditions for their solutions to be pseudo almost periodic are derived.

关键词

pseudo almost periodic function/second order abstract differential equation/Cauchy problem/necessary conditions

Key words

pseudo almost periodic function/second order abstract differential equation/Cauchy problem/necessary conditions

分类

数理科学

引用本文复制引用

谢灵红,顾晓慧,谢建华..Pseudo Almost Periodic Solutions for Second Order Abstract Differential Equations[J].西南交通大学学报(英文版),2003,11(1):98-102,5.

基金项目

Supported by Specialized Research Fund for Doctoral Program of Higher Education (No.200106130001). （No.200106130001）

西南交通大学学报(英文版)

ISSN：2662-4745

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