Acta mathematica scientia, Series B >
DIFFERENTIAL INVERSE VARIATIONAL INEQUALITIES IN FINITE DIMENSIONAL SPACES
Received date: 2013-07-15
Revised date: 2014-03-17
Online published: 2015-03-20
Supported by
The work was supported by the National Natural Science Foundation of China (11301359, 11171237) and the Key Program of NSFC (70831005).
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.
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 . DOI: 10.1016/S0252-9602(15)60012-1
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