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Oscillation and nonoscillation criteria for quasilinear differential equations - MaRDI portal

Oscillation and nonoscillation criteria for quasilinear differential equations (Q1883426)

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scientific article; zbMATH DE number 2107272
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Oscillation and nonoscillation criteria for quasilinear differential equations
scientific article; zbMATH DE number 2107272

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    Oscillation and nonoscillation criteria for quasilinear differential equations (English)
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    12 October 2004
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    Using a technique similar to that exploited by \textit{Á. Elbert} in [J. Math. Anal. Appl. 226, 207--219 (1998; Zbl 0913.34028)] for the study of the second-order linear differential equation \[ x^{\prime\prime}+q(t)x=0,\qquad t\geq t_{\ast}>0, \] the author extends oscillation and nonoscillation results obtained in the cited paper to the quasilinear differential equation \[ \left( \left| u^{\prime}\right| ^{p-1}u^{\prime}\right) ^{\prime }+q(t)\left| u\right| ^{p-1}u=0, \] with \(p\in(0,1].\)
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    oscillation
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    quasilinear differential equation
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    nonoscillation
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