A System of Differential Set-Valued Variational Inequalities in Finite Dimensional Spaces

الملخص EN

A system of differential set-valued variational inequalities is introduced and studied in finite dimensional Euclidean spaces.

An existence theorem of weak solutions for the system of differential set-valued variational inequalities in the sense of Carathéodory is proved under some suitable conditions.

Furthermore, a convergence result on Euler time-dependent procedure for solving the system of differential set-valued variational inequalities is also given.