文章基本信息

标题：On first-order differential operators with Bohr-Neugebauer type property
本地全文：下载
作者：Aribindi Satyanarayan Rao
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：1989
卷号：12
DOI：10.1155/S0161171289000608
出版社：Hindawi Publishing Corporation
摘要：We consider a differential equation ddtu(t)-Bu(t)=f(t), where the functions u and f map the real line into a Banach space X and B: X →X is a bounded linear operator. Assuming that any Stepanov-bounded solution u is Stepanov almost-periodic when f is Bochner almost-periodic, we establish that any Stepanov-bounded solution u is Bochner almost-periodic when f is Stepanov almost-periodic. Some examples are given in which the operator ddt-B is shown to satisfy our assumption.