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Global stability of almost periodic solutions of monotone sweeping processes and their response to non-monotone perturbations. (arXiv:1704.06341v1 [math.DS])

来源于:arXiv
We develop a theory which allows making qualitative conclusions about the dynamics of both monotone and non-monotone Moreau sweeping processes. Specifically, we first prove that any sweeping processes with almost periodic monotone right-hand-sides admits a globally exponentially stable almost periodic solution. And then we describe the extent to which such a globally stable solution persists under non-monotone perturbations. 查看全文>>