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Oscillation conditions for first-order nonlinear advanced differential equations

Özkan Öcalan, Nurten Kiliç (2023)

Commentationes Mathematicae Universitatis Carolinae

Our purpose is to analyze a first order nonlinear differential equation with advanced arguments. Then, some sufficient conditions for the oscillatory solutions of this equation are presented. Our results essentially improve two conditions in the paper “Oscillation tests for nonlinear differential equations with several nonmonotone advanced arguments” by N. Kilıç, Ö. Öcalan and U. M. Özkan. Also we give an example to illustrate our results.

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