Existence results for first and second order nonconvex sweeping process with delay.

Bounkhel, M.; Yarou, M.

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Necessary and sufficient conditions are obtained for every solution of $Δ (y_{n} + p_{n} y_{n - m}) \pm q_{n} G (y_{n - k}) = f_{n}$ to oscillate or tend to zero as $n \to \infty$ , where $p_{n}$ , $q_{n}$ and $f_{n}$ are sequences of real numbers such that $q_{n} \geq 0$ . Different ranges for $p_{n}$ are considered.