DIFFERENTIAL INVERSE VARIATIONAL INEQUALITIES IN FINITE DIMENSIONAL SPACES

doi:10.1016/S0252-9602(15)60012-1

数学物理学报(英文版) ›› 2015, Vol. 35 ›› Issue (2): 407-422.doi: 10.1016/S0252-9602(15)60012-1

DIFFERENTIAL INVERSE VARIATIONAL INEQUALITIES IN FINITE DIMENSIONAL SPACES

李为¹, 汪星², 黄南京³

1. Department of Applied Mathematics, Chengdu University of Technology, Chengdu 610059, China;
2. School of Information Technology, Jiangxi University of Finance and Economics, Nanchang 330013, China;
3. Department of Mathematics, Sichuan University, Chengdu 610064, China

收稿日期:2013-07-15 修回日期:2014-03-17 出版日期:2015-03-20 发布日期:2015-03-20
通讯作者: Nanjing HUANG Department of Mathematics, Sichuan University, Chengdu 610064, China E-mail: nanjinghuang@hotmail.com; njhuang@scu.edu.cn E-mail:nanjinghuang@hotmail.com;njhuang@scu.edu.cn
基金资助:
The work was supported by the National Natural Science Foundation of China (11301359, 11171237) and the Key Program of NSFC (70831005).

DIFFERENTIAL INVERSE VARIATIONAL INEQUALITIES IN FINITE DIMENSIONAL SPACES

Wei LI¹, Xing WANG², Nanjing HUANG³

1. Department of Applied Mathematics, Chengdu University of Technology, Chengdu 610059, China;
2. School of Information Technology, Jiangxi University of Finance and Economics, Nanchang 330013, China;
3. Department of Mathematics, Sichuan University, Chengdu 610064, China

Received:2013-07-15 Revised:2014-03-17 Online:2015-03-20 Published:2015-03-20
Contact: Nanjing HUANG Department of Mathematics, Sichuan University, Chengdu 610064, China E-mail: nanjinghuang@hotmail.com; njhuang@scu.edu.cn E-mail:nanjinghuang@hotmail.com;njhuang@scu.edu.cn
Supported by:
The work was supported by the National Natural Science Foundation of China (11301359, 11171237) and the Key Program of NSFC (70831005).

摘要/Abstract

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 differ- ent conditions. Some existence theorems of Carathéodory 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.

关键词: Differential inverse variational inequality, differential variational inequality, linear growth, Carathé, odory weak solutions

Abstract:

Key words: Differential inverse variational inequality, differential variational inequality, linear growth, Carathé, odory weak solutions

中图分类号:

49J40

李为, 汪星, 黄南京. DIFFERENTIAL INVERSE VARIATIONAL INEQUALITIES IN FINITE DIMENSIONAL SPACES[J]. 数学物理学报(英文版), 2015, 35(2): 407-422.

Wei LI, Xing WANG, Nanjing HUANG. DIFFERENTIAL INVERSE VARIATIONAL INEQUALITIES IN FINITE DIMENSIONAL SPACES[J]. Acta mathematica scientia,Series B, 2015, 35(2): 407-422.

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DIFFERENTIAL INVERSE VARIATIONAL INEQUALITIES IN FINITE DIMENSIONAL SPACES

DIFFERENTIAL INVERSE VARIATIONAL INEQUALITIES IN FINITE DIMENSIONAL SPACES

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