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The oscillation of certain higher-order functional differential equations - MaRDI portal

The oscillation of certain higher-order functional differential equations (Q597387)

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scientific article; zbMATH DE number 2082682
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The oscillation of certain higher-order functional differential equations
scientific article; zbMATH DE number 2082682

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    The oscillation of certain higher-order functional differential equations (English)
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    6 August 2004
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    Oscillation criteria are established for functional-differential equations of the general form \[ \begin{multlined}(d/(dt))([(1/(a_{n-1}(t)))(d/(dt))(1/(a_{n-2}(t)))(d/(dt))\\ \dots(1/(a(t)))(d/(dt))x(t)]^{\alpha})+q(t)f(x[g(t)])=0,\end{multlined} \] where \(n\) is even.
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    oscillation
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    nonoscillation
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    comparison
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    half-linear
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    linearization
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