On Delay‐Independent Criteria for Oscillation of Higher‐Order Functional Differential Equations

Yuangong Sun

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

Abstract: We investigate the oscillation of the following higher‐order functional differential equation: x(n)(t) + q(t) | x(t − τ)|λ−1x(t − τ) = e(t), where q(t) and e(t) are continuous functions on [t0, ∞), 1 > λ > 0 and τ ≠ 0 are constants. Unlike most of delay‐dependent oscillation results in the literature, two delay‐independent oscillation criteria for the equation are established in both the case τ > 0 and the case τ

Date: 2011
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https://doi.org/10.1155/2011/173158

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:173158

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