Iterative oscillation tests for differential equations with several non-monotone arguments

Abstract

Sufficient oscillation conditions involving $\mathrm{limsup}$ and $\mathrm{liminf}$ for first-order differential equations with several non-monotone deviating arguments and nonnegative coefficients are obtained. The results are based on the iterative application of the Grönwall inequality. Examples illustrating the significance of the results are also given.

The paper was originally open access. The purpose of this publication is correct the original mistake that occurred in Theorems 6 and 10 (in particular, the variables under the integral in (2.11) and (2.27)) in the published paper

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• An oscillation criterion for delay differential equations with several non-monotone arguments