Oscillation of Half‐Linear Differential Equations with Delay

Simona Fišnarová and Robert Mařík

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: We study the half‐linear delay differential equation (r(t)Φ(x′(t)))′ + c(t)Φ(x(τ(t))) = 0, Φ(x): = |x|p−2x, p > 1. We establish a new a priori bound for the nonoscillatory solution of this equation and utilize this bound to derive new oscillation criteria for this equation in terms of oscillation criteria for an ordinary half‐linear differential equation. The presented results extend and improve previous results of other authors. An extension to neutral equations is also provided.

Date: 2013
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https://doi.org/10.1155/2013/583147

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:583147

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