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arXiv · 1606.02802

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

Elena Braverman·George E. Chatzarakis·Ioannis P. Stavroulakis
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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 $\liminf $ are obtained for bounded deviations. Examples illustrating the oscillation tests are presented.

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Elena Braverman, George E. Chatzarakis, Ioannis P. Stavroulakis. 2016-06-09. Iterative oscillation tests for difference equations with several non-monotone arguments. https://arxiv.org/abs/1606.02802

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