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Oscillation criteria for certain \(n\)th order differential equations with deviating arguments. (English) Zbl 0997.34060
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.

MSC:
34K11 Oscillation theory of functional-differential equations
34K40 Neutral functional-differential equations
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