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Uniqueness and Hyers–Ulam Stability Results for Differential Variational Inequalities with Nonlocal Conditions


Nguyen Van Loi, Mai Quoc Vu

Source title: 
Differential Equations and Dynamical Systems, 1-18, 2018 (Scopus)
Academic year of acceptance: 

In this paper, we study the nonlocal problem for differential variational inequalities (DVIs) in Hilbert spaces. We proved that under some suitable conditions the considered problem is Hyers–Ulam stable and has a unique solution. It is shown how the abstract results can be applied to study the linear differential complementarity systems and a price control model. Some examples are given to illustrate the obtained results.