Oscillation Criteria for Second‐Order Superlinear Neutral Differential Equations

Tongxing Li, Zhenlai Han, Chenghui Zhang and Hua Li

Abstract and Applied Analysis, 2011, vol. 2011, issue 1

Abstract: Some oscillation criteria are established for the second‐order superlinear neutral differential equations (r(t) | z′(t)|α−1z′(t))′ + f(t, x(σ(t))) = 0, t ≥ t0, where z(t) = x(t) + p(t)x(τ(t)), τ(t) ≥ t, σ(t) ≥ t, p ∈ C([t0, ∞), [0, p0]), and α ≥ 1. Our results are based on the cases ∫t0∞1/r1/α(t)dt=∞ or ∫t0∞1/r1/α(t)dt

Date: 2011
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https://doi.org/10.1155/2011/367541

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:367541

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