On the Bohr transform of almost-periodic solutions for some differential equations in abstract spaces
We consider abstract differential equations of the form u′(t)=Au(t)+f(t) or u″(t)=Au(t)+f(t) in Banach spaces X, where f(⋅), ℝ→X is almost-periodic, while A is a linear operator, 𝒟(A)⊂X→X. If the solution u(⋅) is likewise almost-periodic, ℝ→X, we establish connections between their Bohr-transforms,...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201012352 |
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