State-dependent prox-regular sweeping process with a general nonconvex composed perturbation

DOI10.1016/j.jmaa.2024.129083MaRDI QIDQ6664121

A. A. Tolstonogov, Sergey A. Timoshin

Publication date: 16 January 2025

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

state-dependent moving setnonconvex composed perturbationprox-regular sweeping process

Mathematics Subject Classification ID

Existence theories in calculus of variations and optimal control (49Jxx) General theory for ordinary differential equations (34Axx) Nonlinear operators and their properties (47Hxx)

Cites Work

• Title not available (Why is that?)
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• Nonconvex sweeping process with a moving set depending on the state
• Scorza-Dragoni's theorem for multi-valued mappings with variable domain of definition
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• Evolution problem associated with a moving convex set in Hilbert space
• Truncated nonconvex state-dependent sweeping process: implicit and semi-implicit adapted Moreau's catching-up algorithms
• Reduction of state dependent sweeping process to unconstrained differential inclusion
• Non-convex quasi-variational differential inclusions
• Measurable relations
• Local differentiability of distance functions
• Discontinuous sweeping process with prox-regular sets
• Fixed-point and Minimax Theorems in Locally Convex Topological Linear Spaces
• Differential Equations
• Upper semicontinuous convex-valued selectors of a Nemytskii operator with nonconvex values and evolution inclusions with maximal monotone operators

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