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- W2057321111 abstract "The half-linear dynamic equation on time scales (r(t)|yΔ|α−1sgnyΔ)Δ+p(t)|yσ|α−1sgnyσ=0,α>1, is here considered, under the condition ∫∞r1/(1−α)(s)Δs<∞. Two new characterizations of nonoscillation to this equation are provided, namely in terms of solvability to a related weighted integral Riccati type inequality and in terms of the convergence of a certain function sequence involving the coefficients r and p. These relations are then applied to obtain new oscillation criteria and a comparison theorem, which extend the results known from the continuous or the linear case. The results are new even in the well-studied difference equation setting. A basic classification of nonoscillatory solutions to the equation is also presented. The paper is concluded by indicating some directions for a future research." @default.
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- W2057321111 date "2010-09-01" @default.
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- W2057321111 title "Nonoscillation of half-linear dynamic equations" @default.
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- W2057321111 doi "https://doi.org/10.1016/j.camwa.2010.06.024" @default.
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