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On the oscillation of higher-order half-linear delay differential equations. (English) Zbl 1223.34095
Summary: We study the oscillatory behavior of the following higher-order half-linear delay differential equation
\[ (r(t)(x^{(n-1)}(t))^\alpha)'+q(t)x^\beta(\tau(t))=0,\quad t\geq t_0, \]
where we assume \(\int^\infty_{t_0}\frac{1}{r^{1/\alpha}(t)}\,dt<\infty\). An example is given to illustrate the main results.

MSC:
34K11 Oscillation theory of functional-differential equations
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