Abstract

By using the generalized Riccati transformation and the inequality technique, we establish some new oscillation criterion for the second-order nonlinear delay dynamic equations on a time scale , here is the ratio of two positive odd integers with and real-valued positive right-dense continuous functions defined on . Our results not only extend and improve some known results, but also unify the oscillation of the second-order nonlinear delay differential equation and the second-order nonlinear delay difference equation.

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