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Oscillation of even order nonlinear delay dynamic equations on time scales

Lynn H. ErbeRaziye MertAllan PetersonAğacık Zafer — 2013

Czechoslovak Mathematical Journal

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 dynamic inequality...

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