Variational principles and differential inclusions for unilateral constraints in analytical mechanics
type: Item
instance of: scholarly article
title: Variational principles and differential inclusions for unilateral constraints in analytical mechanics
zbMATH Open document ID: 0572.70022
DOI: 10.1007/BF01556329
author: Helge-Otmar May
published in: Meccanica
publication date: 1984-01-01T00:00:00Z
review text: The paper deals with variational principles and corresponding differential inclusions (i.e., multivalued differential equations) for unilateral constraints in analytical mechanics. Euler-Lagrange and Hamiltonian inclusions are derived. In the appendix some new properties of \textit{E. H. Clarke's} generalized gradient [Trans. Am. Math. Soc. 205, 247-262 (1975; Zbl 0307.26012)] are derived. An example is treated in some detail.
Mathematics Subject Classification ID: 70H30
zbMATH DE Number: 3913756
zbMATH Keywords: hemivariational inequality
zbMATH Keywords: variational principles
zbMATH Keywords: differential inclusions
zbMATH Keywords: multivalued differential equations
zbMATH Keywords: unilateral constraints
zbMATH Keywords: Euler-Lagrange and Hamiltonian inclusions
zbMATH Keywords: generalized gradient
reviewed by: Teodor Atanacković
MaRDI profile type: Publication
cites work: Generalized Gradients and Applications
cites work: Q4053162
cites work: Q3953228
cites work: Q4170275
cites work: Neue Aspekte der Feldtheorie
cites work: Das d'Alembertsche Prinzip in der Kontinuumsmechanik
cites work: Q4123890
cites work: Metrical Lattice and the Problem of Electricity
cites work: Q5627651
cites work: Non-convex superpotentials in the sense of F. H. Clarke and applications
cites work: Q3702572
cites work: Convex Analysis
cites work: Generalized Directional Derivatives and Subgradients of Nonconvex Functions
cites work: Q5548228
full work available at URL: https://doi.org/10.1007/bf01556329
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description: scientific article; zbMATH DE number 3913756