西南交通大学学报(英文版)
西南交通大學學報(英文版)
서남교통대학학보(영문판)
JOURNAL OF SOUTHWEST JIAOTONG UNIVERSITY
2003年
1期
98-102
,共5页
pseudo almost periodic function%second order abstract differential equation%Cauchy problem%necessary conditions
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.
