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- W2038904920 abstract "We derive lower bounds for the distance between consecutive zeros of a solution of the second order half-linear differential equation (¦y′ (t) ¦ α − 1 y′ (t)) ′ + q (t) ¦y (t) ¦ α − 1 y (t) = 0 , (∗) when q (t): (t 0 , ∞) → R is locally integrable for some t 0 > 0. Then we apply these results to the following equations: (p(t) ¦y′ (t) ¦ α − 1 y′ (t)) ′ + q (t) ¦y (t) ¦ α − 1 y (t) = 0 , and ∑ i=1 N |Dy| n-2 D i y +h(|x|)|y| n-2 y=0 for x∈Ω t 0 , where 1. (i) p ϵ C ([t 0 , ∞), (0, ∞)) and ∝ ∞ t 0 p (t) −1 α dt = ∞ 2. (ii) D i = t6 t6x i , D = (D 1 , …, D N ), Ω t 0 = {x ϵ R N : ¦x¦≥ t 0 } is an exterior domain h ϵ C ([t 0 , ∞), R ) 3. (iii) α > 0 is a constant; n > 1 and N > 2 are integers." @default.
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- W2038904920 date "1996-10-01" @default.
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- W2038904920 title "The oscillation of half-linear differential equations with an oscillatory coefficient" @default.
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- W2038904920 doi "https://doi.org/10.1016/0895-7177(96)00129-x" @default.
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