Our aim is to establish some sufficient conditions for the oscillation of the second-order quasilinear neutral functional dynamic equation
on a time scale \( \mathbb{T} \), where ∣f(t, u)∣ ≥ q(t)∣u β∣, r, p, and q are real-valued rd-continuous positive functions defined on \( \mathbb{T} \), and γ and β > 0 are ratios of odd positive integers. Our results do not require that γ = β ≥ 1, p ∆(t) ≥ 0,
Some examples are considered to illustrate the main results.
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Published in Neliniini Kolyvannya, Vol. 13, No. 3, pp. 379–399, July–September, 2010.
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Saker, S.H. Oscillation criteria for a second-order quasilinear neutral functional dynamic equation on time scales. Nonlinear Oscill 13, 407–428 (2011). https://doi.org/10.1007/s11072-011-0122-8
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DOI: https://doi.org/10.1007/s11072-011-0122-8