On the spectrum of weakly almost periodic solutions of certain abstract differential equations (Q1061292)
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scientific article; zbMATH DE number 3908883
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the spectrum of weakly almost periodic solutions of certain abstract differential equations |
scientific article; zbMATH DE number 3908883 |
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On the spectrum of weakly almost periodic solutions of certain abstract differential equations (English)
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1985
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In a sequentially weakly complete Banach space, if the dual operator of a linear operator A satisfies certain conditions, then the spectrum of any weakly almost periodic solution of the differential equation \(u'=Au+f\) is identical with the spectrum of f except at the origin, where f is a weakly almost periodic function.
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densely defined linear operator
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Hilbert space
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nonnegative self-adjoint operator
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sequentially weakly complete Banach space
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spectrum
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