In this work, we consider a model formulated by a dynamical system and an elliptic variational inequality. We prove the solvability of initial value and periodic problems. Finally, two illustrative examples are given to show the applicability of our theoretical results.
"Periodic Solutions to Differential Variational Inequalities of Parabolic-elliptic Type." Taiwanese J. Math. 24 (6) 1497 - 1527, December, 2020. https://doi.org/10.11650/tjm/200301