On almost periodic solutions of the differential equation x ″ ( t ) = A x ( t ) in Hilbert spaces

Gaston M. N'Guerekata

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 28, 1-3

Abstract:

We prove almost periodicity of solutions of the equation x ″ ( t ) = A x ( t ) when the linear operator A satisfies an inequality of the form Re ( A x , x ) ≥ 0 .

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:716192

DOI: 10.1155/S0161171201006652

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