DIFFERENTIAL INVERSE VARIATIONAL INEQUALITIES IN FINITE DIMENSIONAL SPACES

被引：27
|
作者：
Li, Wei [1 ]
Wang, Xing [2 ]
Huang, Nanjing [3 ]
机构：
[1] Chengdu Univ Technol, Dept Appl Math, Chengdu 610059, Peoples R China
[2] Jiangxi Univ Finance & Econ, Sch Informat Technol, Nanchang 330013, Peoples R China
[3] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 2015年 / 35卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Differential inverse variational inequality; differential variational inequality; linear growth; Caratheodory weak solutions; WELL-POSEDNESS; CONVERGENCE; FORMULATION;
D O I：
10.1016/S0252-9602(15)60012-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, a new differential inverse variational inequality is introduced and studied in finite dimensional Euclidean spaces. Some results concerned with the linear growth of the solution set for the differential inverse variational inequalities are obtained under different conditions. Some existence theorems of Caratheodory weak solutions for the differential inverse variational inequality are also established under suitable conditions. An application to the time-dependent spatial price equilibrium control problem is also given.
引用
收藏
页码：407 / 422
页数：16
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