Oscillation Criteria for Certain Even Order Neutral Delay Differential Equations with Mixed Nonlinearities

Zhen-Lai Han, Yi-Bing Sun, Yan Zhao and Dian-Wu Yang

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: We establish some oscillation criteria for the following certain even order neutral delay differential equations with mixed nonlinearities: rtzn-1tα-1zn-1t′+q0(t)(xτ0tα-1x(τ0(t))+q1t(x(τ1(t))β-1x(τ1(t))+q2t(x(τ2(t))γ-1x(τ2(t))=0, t≥t0, where z(t) = x(t) + p(t)x(σ(t)), n is even integer, and γ > α > β > 0. Our results generalize and improve some known results for oscillation of certain even order neutral delay differential equations with mixed nonlinearities.

Date: 2014
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https://doi.org/10.1155/2014/629074

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:629074

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