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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 Zbl 0584.34025. 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 are of interest. The author proves that \(\phi\), \(\phi'\), \(\phi''\) are almost periodic functions.

MSC:

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

Citations:

Zbl 0584.34025
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References:

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