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Published in 2018 at "Optimization Letters"
DOI: 10.1007/s11590-018-1231-4
Abstract: We give a full characterization of nonsmooth Lyapunov pairs for perturbed sweeping processes under very general hypotheses. As a consequence, we provide an existence result and a criterion for weak invariance for perturbed sweeping processes.…
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Keywords:
sweeping processes;
lyapunov pairs;
perturbed sweeping;
pairs perturbed ... See more keywords
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Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.04.059
Abstract: We give different conditions for the invariance of closed sets with respect to differential inclusions governed by a maximal monotone operator defined on Hilbert spaces, which is subject to a Lipschitz continuous perturbation depending on…
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Keywords:
maximal monotone;
differential inclusions;
sets lyapunov;
lyapunov pairs ... See more keywords