English

Iterative oscillation tests for difference equations with several non-monotone arguments

Dynamical Systems 2017-02-13 v2

Abstract

We consider difference equations with several non-monotone deviating arguments and nonnegative coefficients. The deviations (delays and advances) are, generally, unbounded. Sufficient oscillation conditions are obtained in an explicit iterative form. Additional results in terms of lim inf\liminf are obtained for bounded deviations. Examples illustrating the oscillation tests are presented.

Keywords

Cite

@article{arxiv.1606.02802,
  title  = {Iterative oscillation tests for difference equations with several non-monotone arguments},
  author = {Elena Braverman and George E. Chatzarakis and Ioannis P. Stavroulakis},
  journal= {arXiv preprint arXiv:1606.02802},
  year   = {2017}
}

Comments

18 pages, 3 figures, combines published in 2015 in Journal of Difference Equations and Applications article and Erratum published in 2017

R2 v1 2026-06-22T14:21:15.630Z