Pseudo Almost Periodic Solutions for Second Order Abstract Differential Equations

被引：0

作者：

谢灵红

顾晓慧

谢建华

机构：

[1] Southwest Jiaotong University Chengdu 610031

[2] Chengdu 610064

[3] Department of Applied Mathematics

[4] Sichuan University

[5] College of Mathematics

[6] Department of Applied Mechanics and Engineering

[7] Southwest Jiaotong University

[8] China

来源：

Railway Engineering Science | 2003年 / 01期

关键词：

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

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

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)+A 1u′(t)+A 0u(t)=0, t≥0 ) is strongly well posed, the necessary conditions for their solutions to be pseudo almost periodic are derived.

引用

页码：98 / 102

页数：5

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