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- W2740897372 abstract "For the complete higher order differential equation u (n) (t) = Σ n−1 k=0 Aku (k) (t) + f (t), t ∈ R (*) on a Banach space E, we give a new definition of mild solutions of (*). We then characterize the regular admissibility of a translation invariant subspace M of BU C(R, E) with respect to (*) in terms of solvability of the operator equation Σ n−1 j=0 AjXD j − XD n = C. As application, almost periodicity of mild solutions of (*) is proved." @default.
- W2740897372 created "2017-08-08" @default.
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- W2740897372 date "2015-01-01" @default.
- W2740897372 modified "2023-09-23" @default.
- W2740897372 title "ON THE REGULARITY OF MILD SOLUTIONS TO COMPLETE HIGHER ORDER DIFFERENTIAL EQUATIONS ON BANACH SPACES." @default.
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