In:
Carpathian Journal of Mathematics, Technical University of Cluj Napoca, North University Center of Baia Mare, Vol. 34, No. 3 ( 2018), p. 347-354
Abstract:
In the present paper, we investigate a generalized differential mixed quasi-variational inequality consisting of a system of an ordinary differential equation and a generalized mixed quasi-variational inequality. By using an important result concerning the measurable selection, we prove the existence of Caratheodory weak solution to ´ the generalized differential mixed quasi-variational inequality. Then, with the existence result, we establish two stability results for the generalized differential mixed quasi-variational inequality under different conditions, i.e., upper semicontinuity and lower semicontinuity of the Caratheodory weak solution with respect to the ´ parameter, which is a perturbation of some mappings in the generalized mixed quasi-variational inequality.
Type of Medium:
Online Resource
ISSN:
1584-2851
,
1843-4401
DOI:
10.37193/CJM.2018.03
DOI:
10.37193/CJM.2018.03.09
Language:
Unknown
Publisher:
Technical University of Cluj Napoca, North University Center of Baia Mare
Publication Date:
2018
SSG:
17,1
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