On the Bohr transform of almost-periodic solutions for some differential equations in abstract spaces (Q5957239)
From MaRDI portal
scientific article; zbMATH DE number 1716621
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Bohr transform of almost-periodic solutions for some differential equations in abstract spaces |
scientific article; zbMATH DE number 1716621 |
Statements
On the Bohr transform of almost-periodic solutions for some differential equations in abstract spaces (English)
0 references
10 December 2002
0 references
The author considers the abstract differential equations \(u' (t) = A u(t) + f(t)\) and \(u''(t) = A u(t) + f(t)\) for \(t \in \mathbb{R}\) and the linear operator \(A\) in a Banach space \(X\). He studies properties of the solution \(u(\cdot)\) in case that \(f(\cdot)\) is almost-periodic.
0 references
abstract differential equations
0 references
almost-periodic solutions
0 references
Bohr transform
0 references
