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Positive coefficients case and oscillation. (English) Zbl 0931.34021

The author deals with second-order selfadjoint differential equations of the form \[ (r(t)(y'(t))'+p(t)y(t)=0 \tag{1} \] with continuous functions \(p\), \(r\) and \(r(t)>0\) on \(I\). It is shown that the equation can be written at the same form with positive coefficients. Using his earlier result from [Czech. Math. J. 39(114), 24-44 (1989; Zbl 0673.34044)], the author establishes a sufficient condition for the oscillation of (1).
Reviewer: J.Dzurina (Kosice)

MSC:

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

Citations:

Zbl 0673.34044
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