Linear theory of abstract functional differential equations of retarded type (Q1804778)

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scientific article; zbMATH DE number 755530
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Linear theory of abstract functional differential equations of retarded type
scientific article; zbMATH DE number 755530

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    Linear theory of abstract functional differential equations of retarded type (English)
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    15 May 1995
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    The authors consider linear, autonomous delay equations \(x'(t) = L(x_ t)\), with values \(x(t)\) in a Banach space \(E\) and use the spectral theory of the solution semigroup on \(C([- r,0], E)\) in order to discuss phenomena analogous to the Fredholm alternative.
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    linear, autonomous delay equations
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    Banach space
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    Fredholm alternative
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