AN EXISTENCE RESULT FOR VIBRATIONS WITH UNILATERAL CONSTRAINTS

DOI10.1142/S0218202500000422zbMath1020.34013OpenAlexW1621671200MaRDI QIDQ4798818

Laetitia Paoli

Publication date: 16 March 2003

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202500000422

zbMATH Keywords

unilateral constraintsdynamical systemsvibrationsconvex potentialnonsmooth set of constraints

Mathematics Subject Classification ID

Existence theories for free problems in two or more independent variables (49J10) Ordinary differential inclusions (34A60)

Related Items (11)

Numerical simulation of the dynamics of an impacting bar ⋮ Asymptotics for some vibro-impact problems with a linear dissipation term ⋮ Convergence Rates of the Heavy Ball Method for Quasi-strongly Convex Optimization ⋮ A proximal-like method for a class of second order measure-differential inclusions describing vibro-impact problems ⋮ Accelerated differential inclusion for convex optimization ⋮ 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 $\leq3$ ⋮ Discontinuous solutions in the optimal control problems and their representation by singular space-time transformations ⋮ Existence and approximation for vibro-impact problems with a time-dependent set of constraints ⋮ Penalty approximation for non-smooth constraints in vibroimpact ⋮ From differential equation solvers to accelerated first-order methods for convex optimization

Cites Work

• Integrals which are convex functionals
• Integrals which are convex functionals. II
• Mouvement à un nombre fini de degrés de liberté avec contraintes unilatérales : cas avec perte d'énergie

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