Displaying similar documents to “Iterated oscillation criteria for delay dynamic equations of first order.”

Oscillation of even order nonlinear delay dynamic equations on time scales

Lynn H. Erbe, Raziye Mert, Allan Peterson, Ağacık Zafer (2013)

Czechoslovak Mathematical Journal

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One of the important methods for studying the oscillation of higher order differential equations is to make a comparison with second order differential equations. The method involves using Taylor's Formula. In this paper we show how such a method can be used for a class of even order delay dynamic equations on time scales via comparison with second order dynamic inequalities. In particular, it is shown that nonexistence of an eventually positive solution of a certain second order delay...