Oscillations of nonlinear differential equations with several deviating arguments

Chatzarakis, George E. and Dix, Julio G.: Oscillations of nonlinear differential equations with several deviating arguments. Electronic journal of qualitative theory of differential equations 39. pp. 1-12. (2018)

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Abstract

This article concerns the oscillatory behavior of first-order non-linear differential equations with several variable deviating arguments and non-negative coefficients. We study both delayed and advanced equations, and obtain sufficient conditions that guarantee the oscillation of all solutions. Our assumptions let us transform differential equalities into inequalities for which we use known techniques, and improve results in the literature. We also provide an example that illustrates our results.

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