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On the Spectrum of almost periodic solutions of an abstract differential equation
Published online by Cambridge University Press: 09 April 2009
Abstract
If a linear operator A in a Banach space satisfies certain conditions, then the spectrum of any almost periodic solution of the differential equation u′ = Au + f is shown to be identical with the spectrum of f, where f is a Stepanov almost periodic function.
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 18 , Issue 4 , December 1974 , pp. 385 - 387
- Copyright
- Copyright © Australian Mathematical Society 1974