Oscillation tests for nonlinear differential equations with nonmonotone delays


Abstract: In this paper, our aim is to investigate a class of first-order nonlinear delay differential equations with several deviating arguments. In addition, we present some sufficient conditions for the oscillatory solutions of these equations. Differing from other studies in the literature, delay terms are not necessarily monotone. Finally, we give examples to demonstrate the results.

Keywords: Delay equations, nonlinear, nonmonotone arguments, nonoscillatory solution, oscillatory solution

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