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

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

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Bibliographic Details
Main Author: Gaston M. N'Guerekata
Format: Article
Language:English
Published: Wiley 2001-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171201006652
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