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Oscillation of solutions to odd-order nonlinear neutral functional differential equations. (English) Zbl 1211.34080

Summary: We establish some new comparison theorems and Philso-type criteria for oscillation of solutions to the odd-order nonlinear neutral functional differential equation
\[ [x(t)+p(t)x(\tau(t))]^{(n)}+q(t)x^\alpha(\sigma(t))=0, \]
where \(0\leq p(t)\leq p_0<\infty\) and \(\alpha\geq 1\).

MSC:

34K11 Oscillation theory of functional-differential equations
34K25 Asymptotic theory of functional-differential equations
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