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 in:Acta mathematica scientia 2015-03, Vol.35 (2), p.407-422
Main Author: 李为 汪星 黄南京
Format: Article
Language:English
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
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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.
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(15)60012-1