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We present criteria of Hille-Nehari type for the half-linear dynamic equation (r(t)Φ(yΔ))Δ+p(t)Φ(yσ) = 0 on time scales. As a particular important case we get that there is a a (sharp) critical constant which may be different from what is known from the continuous case, and its value depends on the graininess of a time scale and on the coefficient r. As applications we state criteria for strong...
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