A continuity method for sweeping processes

DOI10.1016/j.jde.2011.06.018zbMath1237.34116OpenAlexW2075071432MaRDI QIDQ639485

Vincenzo Recupero

Publication date: 22 September 2011

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2011.06.018

zbMATH Keywords

differential inclusionsrate independencesweeping processes

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Evolution inclusions (34G25)

Related Items (14)

Averaging of time-periodic dissipation potentials in rate-independent processes ⋮ \(BV\)-norm continuity of sweeping processes driven by a set with constant shape ⋮ Sweeping processes with prescribed behavior on jumps ⋮ Moreau-Yosida regularization of state-dependent sweeping processes with nonregular sets ⋮ A Continuation Principle for Periodic BV-Continuous State-Dependent Sweeping Processes ⋮ Hysteresis operators in metric spaces ⋮ On the response of autonomous sweeping processes to periodic perturbations ⋮ Convex valued geodesics and applications to sweeping processes with bounded retraction ⋮ Unnamed Item ⋮ Dynamical Systems Coupled with Monotone Set-Valued Operators: Formalisms, Applications, Well-Posedness, and Stability ⋮ Topological properties for a perturbed first order sweeping process ⋮ Multidimensional play operators with arbitraryBVinputs ⋮ Existence of solutions for a coupled system of Caputo type fractional-order differential inclusions with non-separated boundary conditions on multivalued maps ⋮ \(BV\) continuous sweeping processes

Cites Work

• Differential inclusions in nonsmooth mechanical problems. Shocks and dry friction
• Rate independent Kurzweil processes.
• Evolution problem associated with a moving convex set in Hilbert space
• Hysteresis and phase transitions
• BV solutions of nonconvex sweeping process differential inclusion with perturbation
• BV solutions of rate independent variational inequalities
• The play operator on the rectifiable curves in a Hilbert space
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