On the spectrum of weakly almost periodic solutions of certain abstract differential equations

Aribindi Satyanarayan Rao and L. S. Dube

International Journal of Mathematics and Mathematical Sciences, 1985, vol. 8, 1-4

Abstract:

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 ′ = A u + f is identical with the spectrum of f except at the origin, where f is a weakly almost periodic function.

Date: 1985
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:250709

DOI: 10.1155/S0161171285000096

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