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Iterative oscillation tests for differential equations with several non-monotone arguments
- 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
- Subjects :
- Mathematics - Dynamical Systems
34K11, 34K06
Subjects
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