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

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  • Gaston M. N'Guerekata

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 .

Suggested Citation

  • Gaston M. N'Guerekata, 2001. "On almost periodic solutions of the differential equation x ″ ( t ) = A x ( t ) in Hilbert spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 28, pages 1-3, January.
    • Handle: RePEc:hin:jijmms:716192
    DOI: 10.1155/S0161171201006652
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