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Zbl 0997.34060
Agarwal, Ravi P.; Grace, Said R.; O'Regan, Donal
Oscillation criteria for certain $n$th order differential equations with deviating arguments.
(English)
[J] J. Math. Anal. Appl. 262, No.2, 601-622 (2001). ISSN 0022-247X

The authors establish new oscillation criteria for $n$th-order nonlinear differential equations with deviating argument $$(|x^{(n-1)}(t)|^{\alpha -1}x^{(n-1)}(t))^{'}+F(t,x[g(t)])=0,$$ where $n$ is an even number. They investigate some generalizations of this equation, including neutral differential equations. Oscillation results obtained here extend and improve some known results.
[Leonid Berezanski (Beer-Sheva)]
MSC 2000:
*34K11 Oscillation theory of functional-differential equations
34K40 Neutral equations

Keywords: oscillation; nonoscillation; comparison; functional-differential equation

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