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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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
- Difference equation
- non-monotone arguments
- oscillatory solutions
- nonoscillatory solutions
Mathematics Subject Classification