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

Bounkhel, M.; Yarou, M.

Port. Math. (N.S.) 61, No. 2, 207-230 (2004).

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.

Keywords:

uniformly prox-regular set; nonconvex sweeping processes; nonconvex differential inclusions