Asymptotics for some vibro-impact problems with a linear dissipation term

DOI10.1016/j.matpur.2007.01.003zbMath1136.49010OpenAlexW2016055140MaRDI QIDQ877012

Laetitia Paoli, Alexandre Cabot

Publication date: 19 April 2007

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2007.01.003

zbMATH Keywords

Newton's impact lawconstrained convex optimizationdissipative solutionfrictionless vibro-impact problems

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Methods involving semicontinuity and convergence; relaxation (49J45) Ordinary differential inclusions (34A60) Stability and convergence of numerical methods for ordinary differential equations (65L20) Dynamical systems in classical and celestial mechanics (37N05) Dynamical systems in optimization and economics (37N40) Collision of rigid or pseudo-rigid bodies (70F35)

Related Items (8)

Existence of solutions for a Lipschitzian vibroimpact problem with time-dependent constraints ⋮ Sequential formulae for the normal cone to sublevel sets ⋮ Convergence rates of the heavy-ball method under the Łojasiewicz property ⋮ The Differential Inclusion Modeling FISTA Algorithm and Optimality of Convergence Rate in the Case b $\leq3$ ⋮ Optimal Convergence Rates for Nesterov Acceleration ⋮ Dynamical Systems Coupled with Monotone Set-Valued Operators: Formalisms, Applications, Well-Posedness, and Stability ⋮ From differential equation solvers to accelerated first-order methods for convex optimization ⋮ Accelerated Iterative Regularization via Dual Diagonal Descent

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