- 期刊
ON FIRST-ORDER DIFFERENTIAL OPERATORS WITH BOHR-NEUGEBAUER TYPE PROPERTY
摘要
We consider a differential equation d/dt u(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 d which the operator d/dt - B is shown to satisfy our assumption.
延伸閱讀
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