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
相关论文
共 59 条
[1]  
Adly S(2004)A stability theory for second-order nonsmooth dynamical systems with application to friction problems J. Math. Pures Appl. 83 17-51
[2]  
Goeleven D(2013)On the Ulam-Hyers stability of first order differential systems with nonlocal initial conditions Nonlinear Anal. TMA 82 1-11
[3]  
András Sz(2003)Stability of functional equations in single variable J. Math. Anal. Appl. 288 852-869
[4]  
Kolumbán JJ(2017)On Ulams type stability for a class of impulsive fractional differential equations with nonlinear integral boundary conditions J. Nonlinear Sci. Appl. 10 4760-4775
[5]  
Agarwal RP(2017)Existence and Stability Analysis of Three Point Boundary Value Problem Inter. J. Appl. Comp. Math. 3 651-664
[6]  
Xu B(1943)The stability of solutions of linear differential equations Duke Math. J. 10 643-647
[7]  
Zhang W(2006)Lyapunov stability of complementarity and extended systems SIAM J. Optim. 17 1056-1101
[8]  
Ali A(2003)On the stability of stationary solutions of evolution variational inequalities Adv. Nonlinear Var. Inequal. 6 1-30
[9]  
Rabiei F(2004)Stability and instability matrices for linear evolution variational inequalities IEEE Trans. Automat. Control 49 521-534
[10]  
Shah K(2005)Necessary conditions of asymptotic stability for unilateral dynamical systems Nonlinear Anal. 61 961-1004
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