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Existence results for first and second order nonconvex sweeping process with delay. (English) Zbl 1098.49016

Summary: We prove several existence results for functional differential inclusions governed by nonconvex sweeping process of first and second order with perturbations depending on all the variables and with delay.

MSC:

49J52 Nonsmooth analysis
49J24 Optimal control problems with differential inclusions (existence) (MSC2000)
34A60 Ordinary differential inclusions
34A25 Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc.
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