On the basic second kind central dispersion of \(y''=q(t)y\) with an almost periodic coefficient q. (English) Zbl 0584.34025

Let \(y''=q(t)y\), \(C\in C^ 0(R)\), \(q(t)<0\) for \(t\in R\), be an oscillatory equation with an almost periodic coefficient q. The distribution of zeros of the derivative of solutions of this equation is described by \(\psi\), the basic second kind central dispersion of this equation. The author proves that the function \(t\to \psi (t)-t\) is almost periodic.
Reviewer: J.E.Rubio


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