On first-order differential operators with Bohr-Neugebauer type property
1989 ◽
Vol 12
(3)
◽
pp. 473-476
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Keyword(s):
We consider a differential equationddtu(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 operatorddt-B is shown to satisfy our assumption.
1987 ◽
Vol 10
(1)
◽
pp. 51-55
1974 ◽
Vol 18
(4)
◽
pp. 385-387
Keyword(s):
1991 ◽
Vol 14
(3)
◽
pp. 611-614
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Keyword(s):
1958 ◽
Vol 10
◽
pp. 431-446
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