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

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 $\mathrm{liminf}$ are obtained for bounded deviations. Examples illustrating the oscillation tests are presented.

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