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Iterated oscillation criteria for delay dynamic equations of first order. (English) Zbl 1160.39302

Summary: We obtain new sufficient conditions for the oscillation of all solutions of first-order delay dynamic equations on arbitrary time scales, hence combining and extending results for corresponding differential and difference equations. Examples, some of which coincide with well-known results on particular time scales, are provided to illustrate the applicability of our results.

MSC:

39A21 Oscillation theory for difference equations
39A12 Discrete version of topics in analysis
34K11 Oscillation theory of functional-differential equations
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