A differential equation approach to implicit sweeping processes
In this paper, the well-posedness (existence and uniqueness of solutions) for an implicit version of the sweeping process was studied. The approach presented in this paper consists in transforming the implicit sweeping process into a differential equation for which the existence and uniqueness of solutions can be obtained through classical results of differential equationsin Hilbert spaces. Furthermore, the authors applied this equivalence to study Lyapunov pairs for the implicit sweeping process, which show the efficiency of this approach, and gave two applications of implicit sweeping processes to quasistatic evolution variational inequalities and electrical circuits, respectively. This paper improves known results in the literature.
scientific article; zbMATH DE number 7018397
scientific article