Oscillation for Higher Order Dynamic Equations on Time Scales

Taixiang Sun, Qiuli He, Hongjian Xi and Weiyong Yu

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: We investigate the oscillation of the following higher order dynamic equation: {an(t)[(an−1(t)(⋯(a1(t)xΔ(t)) Δ ⋯ ) Δ) Δ] α} Δ + p(t)xβ(t) = 0, on some time scale T, where n ≥ 2, ak(t) (1 ≤ k ≤ n) and p(t) are positive rd‐continuous functions on T and α, β are the quotient of odd positive integers. We give sufficient conditions under which every solution of this equation is either oscillatory or tends to zero.

Date: 2013
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https://doi.org/10.1155/2013/268721

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:268721

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