Nonconvex sweeping process with a moving set depending on the state

DOI10.1007/s10013-014-0109-8zbMath1315.34068OpenAlexW2023399806MaRDI QIDQ484494

Jimmy Noel, Lionel Thibault

Publication date: 7 January 2015

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10013-014-0109-8

zbMATH Keywords

normal conedifferential inclusionexistence of solutionssweeping processprox-regular

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Ordinary differential inclusions (34A60) Evolution inclusions (34G25) Applications of operator theory to differential and integral equations (47N20)

Related Items (13)

Truncated nonconvex state-dependent sweeping process: implicit and semi-implicit adapted Moreau's catching-up algorithms ⋮ Second-order general perturbed sweeping process differential inclusion ⋮ Moreau-Yosida regularization of state-dependent sweeping processes with nonregular sets ⋮ Convex sweeping processes with noncompact perturbations and with delay in Banach spaces ⋮ Galerkin-like Method and Generalized Perturbed Sweeping Process with Nonregular Sets ⋮ On state-dependent sweeping process in Banach spaces ⋮ Nonsmooth dynamics of generalized Nash games ⋮ Sweeping process with right uniformly lower semicontinuous mappings ⋮ Existence and Lyapunov pairs for the perturbed sweeping process governed by a fixed set ⋮ Non-convex sweeping processes in the space of regulated functions ⋮ Second-Order Perturbed State-Dependent Sweeping Process with Subsmooth Sets ⋮ Evolution problems involving state-dependent maximal monotone operators ⋮ Reduction of state dependent sweeping process to unconstrained differential inclusion

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