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Oscillation Theorems for Second‐Order Quasilinear Neutral Functional Differential Equations

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  • Shurong Sun
  • Tongxing Li
  • Zhenlai Han
  • Hua Li

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.

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Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:819342
DOI: 10.1155/2012/819342
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