On Stepanov-like (pseudo) almost automorphic functions (Q531676)
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scientific article; zbMATH DE number 5880242
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Stepanov-like (pseudo) almost automorphic functions |
scientific article; zbMATH DE number 5880242 |
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On Stepanov-like (pseudo) almost automorphic functions (English)
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19 April 2011
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A new composition theorem for Stepanov-like pseudo almost automorphic functions is presented in this nice paper. Then, it is used to obtain the existence and uniqueness of pseudo almost automorphic solutions to the semilinear differential equation \[ u'(t)=Au(t)+F(t,u(t)), \] where the operator \(A\) generates an exponentially stable \(C_0\)-semigroup of operators \((T(t))_{t\geq 0}\). The latter generalizes a recent result by T. Diagana.
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pseudo almost automorphic
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Stepanov-like almost automorphic
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composition theorem
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