On first-order differential operators with Bohr-Neugebauer type property
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 Ste...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
1989-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171289000608 |
| id |
doaj-0f5ad49f00cc48318048c5c6a2882824 |
|---|---|
| record_format |
Article |
| spelling |
doaj-0f5ad49f00cc48318048c5c6a28828242020-11-24T22:05:38ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251989-01-0112347347610.1155/S0161171289000608On first-order differential operators with Bohr-Neugebauer type propertyAribindi Satyanarayan Rao0Department of Mathenmtics, Conoordia Univ., Montreal H3G IM8, P.Quebec, CanadaWe 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.http://dx.doi.org/10.1155/S0161171289000608 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Aribindi Satyanarayan Rao |
| spellingShingle |
Aribindi Satyanarayan Rao On first-order differential operators with Bohr-Neugebauer type property International Journal of Mathematics and Mathematical Sciences |
| author_facet |
Aribindi Satyanarayan Rao |
| author_sort |
Aribindi Satyanarayan Rao |
| title |
On first-order differential operators with Bohr-Neugebauer type property |
| title_short |
On first-order differential operators with Bohr-Neugebauer type property |
| title_full |
On first-order differential operators with Bohr-Neugebauer type property |
| title_fullStr |
On first-order differential operators with Bohr-Neugebauer type property |
| title_full_unstemmed |
On first-order differential operators with Bohr-Neugebauer type property |
| title_sort |
on first-order differential operators with bohr-neugebauer type property |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
1989-01-01 |
| description |
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. |
| url |
http://dx.doi.org/10.1155/S0161171289000608 |
| work_keys_str_mv |
AT aribindisatyanarayanrao onfirstorderdifferentialoperatorswithbohrneugebauertypeproperty |
| _version_ |
1725825357741817856 |