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Author

D. Narváez

2 papers indexed here

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Open access 2024

Perturbed Degenerate State-Dependent Sweeping Processes with Convex and Nonconvex Sets

We prove by means of the Moreau-Yosida regularization an existence result for perturbed degenerate state-dependent sweeping processes with convex and nonconvex moving sets. The moving sets vary in a Lipschitz continuous way with respect to the truncated Hausdorff distance. The theoretical results are applied to obtain...

D. Narváez, Emilio Vilches · 1 citation · ⚡1
Preprint Aug 2026

Volterra Sweeping Processes with Multivalued Perturbations under Compactness Conditions

We study integro-differential sweeping processes of Volterra type in a separable Hilbert space, in which the velocity is governed by the normal cone to a prox-regular moving set and is driven by an outer set-valued perturbation together with a history-dependent integral term that endows the dynamics with memory. The pe...

A. Jourani, D. Narváez, Emilio Vilches · 2 citations

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