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Asymptotic behavior of solutions of a third-order nonlinear dynamic equation on time scales. (English) Zbl 1075.39010

Authors’ abstract: We establish some sufficient conditions which guarantee that every solution of the third order nonlinear dynamic equation \((c(t)(a(t)x^\Delta (t))^\Delta )^\Delta +q(t)f(x(t))=0,\) \(t\geq t_0,\) oscillates or converges to zero.

MSC:

39A12 Discrete version of topics in analysis
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