arXiv subjects

George E. Chatzarakis

Publications and source records attributed to George E. Chatzarakis.

2 recordsLinked to original sources

arXiv2019

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

Sufficient oscillation conditions involving $\limsup $ and $\liminf $ for first-order differential equations with several non-monotone deviating arguments and nonnegative coefficients are obtained. The results are based on the iterative application of the Grönwall inequality. Examples illustrating the significance of the results are also given.

math.DS↗

arXiv2017

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

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.

math.DS↗