Geodesic
Oscillation in deviating differential equations using an iterative method
Communications in Mathematics, Tome 27 (2019) no. 2, pp. 143-169.

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Sufficient oscillation conditions involving $\limsup $ and $\liminf $ for first-order differential equations with non-monotone deviating arguments and nonnegative coefficients are obtained. The results are based on the iterative application of the Grönwall inequality. Examples, numerically solved in MATLAB, are also given to illustrate the applicability and strength of the obtained conditions over known ones.
Classification : 34K06, 34K11
Keywords: differential equation; non-monotone argument; oscillatory solution; nonoscillatory solution; Grönwall inequality. 
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     author = {Chatzarakis, George E. and Jadlovsk\'a, Irena},
     title = {Oscillation in deviating differential equations using an iterative method},
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     zbl = {1464.34088},
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Chatzarakis, George E.; Jadlovská, Irena. Oscillation in deviating differential equations using an iterative method. Communications in Mathematics, Tome 27 (2019) no. 2, pp. 143-169. http://geodesic.mathdoc.fr/item/COMIM_2019__27_2_a5/