George E. Chatzarakis ; Irena Jadlovská - Oscillation in deviating differential equations using an iterative method

cm:9493 - Communications in Mathematics, December 31, 2019, Volume 27 (2019), Issue 2 - https://doi.org/10.2478/cm-2019-0012
Oscillation in deviating differential equations using an iterative methodArticle

Authors: George E. Chatzarakis ; Irena Jadlovská ORCID


Sufficient oscillation conditions involving lim sup and lim inf 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.

https://doi.org/10.2478/cm-2019-0012
Source: HAL:hal-03664969v1
Volume: Volume 27 (2019), Issue 2
Published on: December 31, 2019
Imported on: May 11, 2022
Keywords: [MATH]Mathematics [math]
Licence: Attribution-Non Commercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)

Classifications

Mathematics Subject Classification 20201
Sources:
  • [1] zbMATH Open.

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