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On almost periodic solutions of the differential equation \(x''(t)=Ax(t)\) in Hilbert spaces. (English) Zbl 1006.34052
Summary: The author proves the almost-periodicity of solutions to the equation \(x''(t)= Ax(t)\) when the linear operator \(A\) satisfies an inequality of the form \(\text{Re}(Ax,x)\geq 0\).

MSC:
34G10 Linear differential equations in abstract spaces
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