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On Oscillation of Differential Equations with Non-monotone Deviating Arguments

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Abstract

In this paper, we present sufficient conditions involving limsup which guarantee the oscillation of all solutions of a differential equation with non-monotone deviating argument and non-negative coefficients. Corresponding differential equations of both delayed and advanced type are studied. Using algorithms on MATLAB software, examples are given to demonstrate the advantage of our results.

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Authors and Affiliations

  1. Department of Electrical and Electronic Engineering Educators, School of Pedagogical and Technological Education (ASPETE), N. Heraklion, 14121, Athens, Greece

    G. E. Chatzarakis

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  1. G. E. Chatzarakis
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Chatzarakis, G.E. On Oscillation of Differential Equations with Non-monotone Deviating Arguments. Mediterr. J. Math. 14, 82 (2017). https://doi.org/10.1007/s00009-017-0883-0

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  • DOI: https://doi.org/10.1007/s00009-017-0883-0

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