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- W2019206906 abstract "Abstract This paper is concerned with oscillation of the second-order quasilinear functional dynamic equation $(r(t)(x^Delta (t))^gamma )^Delta + p(t)x^beta (tau (t)) = 0,$ on a time scale $mathbb{T}$ where γ and β are quotient of odd positive integers, r, p, and τ are positive rd-continuous functions defined on $mathbb{T},tau :mathbb{T} to mathbb{T}$ and $mathop {lim }limits_{t to infty } tau (t) = infty $. We establish some new sufficient conditions which ensure that every solution oscillates or converges to zero. Our results improve the oscillation results in the literature when γ = β, and τ(t) ≤ t and when τ(t) > t the results are essentially new. Some examples are considered to illustrate the main results." @default.
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- W2019206906 date "2012-05-06" @default.
- W2019206906 modified "2023-10-17" @default.
- W2019206906 title "Oscillation criteria for quasi-linear functional dynamic equations on time scales" @default.
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- W2019206906 doi "https://doi.org/10.2478/s12175-012-0026-9" @default.
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