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: General Mathematics,[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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