Variational principles and differential inclusions for unilateral constraints in analytical mechanics
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.
Euler-Lagrange and Hamiltonian inclusions
scientific article; zbMATH DE number 3913756
scientific article