DIFFERENTIAL INVERSE VARIATIONAL INEQUALITIES IN FINITE DIMENSIONAL SPACES  

作　　者：李为 汪星 黄南京 

机构地区：[1]Department of Applied Mathematics,Chengdu University of Technology [2]School of Information Technology,Jiangxi University of Finance and Economics [3]Department of Mathematics,Sichuan University

出　　处：《Acta Mathematica Scientia》2015年第2期407-422,共16页数学物理学报（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China(11301359,11171237);the Key Program of NSFC(70831005)

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.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.

关 键 词：Differential inverse variational inequality differential variational inequality linear growth Caratheodory weak solutions 

分 类 号：O178[理学—数学]