Iterative Oscillation Criteria in Deviating Difference Equations

Mediterranean Journal of Mathematics volume 17, Article number: 192 (2020) Cite this article

Abstract

The oscillation of the first-order linear difference equations with several non-monotone deviating arguments and nonnegative coefficients is investigated, using an iterative procedure. The conditions obtained by this method achieve a marked improvement on all known conditions in the literature. Examples, numerically solved in MATLAB, are also given to illustrate the applicability and strength of the results.

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Author information

Affiliations

  1. Department of Electrical and Electronic Engineering Educators, School of Pedagogical and Technological Education (ASPETE), Marousi, 1122, Athens, Greece

    George E. Chatzarakis

  2. Department of Mathematics and Theoretical Informatics, Faculty of Electrical Engineering and Informatics, Technical University of Košice, Letná 9, 042 00, Košice, Slovakia

    Irena Jadlovská

Authors
  1. George E. Chatzarakis
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  2. Irena Jadlovská
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Correspondence to Irena Jadlovská.

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Chatzarakis, G.E., Jadlovská, I. Iterative Oscillation Criteria in Deviating Difference Equations. Mediterr. J. Math. 17, 192 (2020). https://doi.org/10.1007/s00009-020-01635-y

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Keywords

  • Difference equation
  • non-monotone arguments
  • oscillatory solutions
  • nonoscillatory solutions

Mathematics Subject Classification

  • 39A10
  • 39A21