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

被引：0
作者：
Nguyen Van Loi
Mai Quoc Vu
机构：
[1] Ton Duc Thang University,Division of Computational Mathematics and Engineering, Institute for Computational Science
[2] Ton Duc Thang University,Faculty of Civil Engineering
[3] Tay Nguyen University,Faculty of Natural Sciences and Technology
来源：
Differential Equations and Dynamical Systems | 2022年 / 30卷
关键词：
Differential variational inequality; Hyers–Ulam stability; Nonlocal condition; Linear complementarity system; Price control; 34A38; 34D30; 34B10; 34B15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：113 / 130
页数：17
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