DIFFERENTIAL INVERSE VARIATIONAL INEQUALITIES IN FINITE DIMENSIONAL SPACES

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 e...

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Bibliographic Details
Published inActa mathematica scientia Vol. 35; no. 2; pp. 407 - 422
Main Author 李为 汪星 黄南京
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.03.2015
Department of Applied Mathematics, Chengdu University of Technology, Chengdu 610059, China%School of Information Technology, Jiangxi University of Finance and Economics,Nanchang 330013, China%Department of Mathematics, Sichuan University, Chengdu 610064, China
Subjects
47J20
49J40
Carathéodory weak solutions
Differential inverse variational inequality
differential variational inequality
linear growth
变分不等式
存在性定理
应用程序
弱解
控制问题
时间
有限维空间
欧几里得空间
Carathéodory weak solutions
linear growth
differential variational inequality
47J20
49J40
Differential inverse variational inequality
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ISSN0252-9602
1572-9087
DOI10.1016/S0252-9602(15)60012-1

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Summary: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.
Bibliography:Wei LI, Xing WANG,Nanjing HUANG（ Department of Applied Mathematics, Chengdu University of Technology, Chengdu 610059, China;School of Information Technology, Jiangxi University of Finance and Economics, Nanchang 330013, China; Department of Mathematics, Sichuan University, Chengdu 610065, China）
42-1227/O
Differential inverse variational inequality; differential variational inequality; linear growth; Caratheodory weak solutions
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.
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(15)60012-1