Nonoscillatory solutions of second-order superlinear dynamic equations with integrable coefficients (Q410233)

Summary: The asymptotic behavior of nonoscillatory solutions of the superlinear dynamic equation on time scales \((r(t)x^\Delta (t))^\Delta + p(t)|x(\sigma(t))|^\gamma \text{sgn}x(\sigma(t)) = 0, \gamma > 1\), is discussed under the condition that \(P(t) = \lim_{\tau \rightarrow \infty} \int^\tau_t p(s) \Delta s\) exists and \(P(t) \geq 0\) for large \(t\).