Improved iterative oscillation tests for first-order deviating differential equations.

*(English)*Zbl 1405.34056This paper is devoted to study the oscillation of first order differential equations with non-monotone arguments of the delay type
\[
x'+p(t)x(\tau(t))=0,
\]
as well as the advanced type
\[
x'-q(t)x(\sigma(t))=0.
\]
Improved oscillation criteria for these equations of lim sup and lim inf types are obtained. The authors provide two examples to show the significance and the improvement of these new results over the known ones.

Reviewer: Hassan El-Morshedy (Damietta)

##### MSC:

34K11 | Oscillation theory of functional-differential equations |

34K06 | Linear functional-differential equations |

##### Keywords:

differential equation; non-monotone argument; oscillatory solution; nonoscillatory solution
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\textit{G. E. Chatzarakis} and \textit{I. Jadlovská}, Opusc. Math. 38, No. 3, 327--356 (2018; Zbl 1405.34056)

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