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On properties of derivatives of the basic central dispersion in an oscillatory equation \(y''=q(t)y\) with an almost periodic coefficient q. (English) Zbl 0584.34026

We consider again the same equation \(y''=q(t)y\), with q almost periodic, as in the previous review. The distribution of zeros of the solution may be described through the basic central dispersion \(\phi\) of this equation. The derivatives of this function also have interest. The author proves that \(\phi\), \(\Phi\) ’, \(\phi\) ” are almost periodic functions.
Reviewer: J.E.Rubio

MSC:

34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
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References:

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