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Iterative oscillation tests for differential equations with several non-monotone arguments

Authors :
Braverman, Elena
Chatzarakis, George E.
Stavroulakis, Ioannis P.
Source :
Adv. Difference Equ. 2016, Paper No. 87, 18 pp
Publication Year :
2019

Abstract

Sufficient oscillation conditions involving $\limsup $ and $\liminf $ for first-order differential equations with several non-monotone deviating arguments and nonnegative coefficients are obtained. The results are based on the iterative application of the Gr\"{o}nwall inequality. Examples illustrating the significance of the results are also given.<br />Comment: The paper was originally open access. The purpose of this publication is correct the original mistake that occurred in Theorems 6 and 10 (in particular, the variables under the integral in (2.11) and (2.27)) in the published paper

Details

Database :
arXiv
Journal :
Adv. Difference Equ. 2016, Paper No. 87, 18 pp
Publication Type :
Report
Accession number :
edsarx.1902.08240
Document Type :
Working Paper
Full Text :
https://doi.org/10.1186/s13662-016-0817-3