Oscillation Theorems for Second‐Order Quasilinear Neutral Functional Differential Equations

Shurong Sun, Tongxing Li, Zhenlai Han and Hua Li

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: New oscillation criteria are established for the second‐order nonlinear neutral functional differential equations of the form (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)), p ∈ C1([t0, ∞), [0, ∞)), and α ≥ 1. Our results improve and extend some known results in the literature. Some examples are also provided to show the importance of these results.

Date: 2012
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https://doi.org/10.1155/2012/819342

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:819342

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