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Zbl 1223.34095
Zhang, Chenghui; Li, Tongxing; Sun, Bo; Thandapani, E.
On the oscillation of higher-order half-linear delay differential equations.
(English)
[J] Appl. Math. Lett. 24, No. 9, 1618-1621 (2011). ISSN 0893-9659

Summary: We study the oscillatory behavior of the following higher-order half-linear delay differential equation $$(r(t)(x^{(n-1)}(t))^\alpha)'+q(t)x^\beta(\tau(t))=0,\quad t\ge t_0,$$ 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 2000:
*34K11 Oscillation theory of functional-differential equations

Keywords: oscillation; delay differential equation; higher-order

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