caa a22 4500 378921029 CHVBK 20180305123605.0 cr unu---uuuuu 161128e200406 xx s 000 0 eng 10.1515/GMJ.2004.229 doi (NATIONALLICENCE)gruyter-10.1515/GMJ.2004.229 Gachechiladze A. A. Razmadze Mathematical Institute, Georgian Academy of Sciences, 1, M. Aleksidze St., Tbilisi 0193, Georgia. E-mail: agach@rmi.acnet.ge On the Uniqueness of Solutions of Some Quasi-Variational Inequalities from Control Theory [Elektronische Daten] [A. Gachechiladze] The existence and uniqueness problems for some quasi-variational inequalities are studied on the basis of the L ∞-estimates for solutions of the variational inequalities and their differences. An implicit obstacle problem is stated by analogy with one quasi-variational inequality studied by Benoussan and Lions (Méthodes Mathématiques de l'Informatique 11: 1982) and Vescan (1982) and its unique solvability is proved. Some conclusions are given concerning the uniqueness of solutions for an impulse control problem with bilateral restrictions and for a quasi-variational inequality appearing in dynamic programming. © Heldermann Verlag Variational and quasi-variational inequalities nationallicence impulse control nationallicence dynamic programming nationallicence implicit Signorini problem nationallicence Georgian Mathematical Journal Walter de Gruyter GmbH & Co. KG 11/2(2004-06), 229-242 1072-947X 11:2<229 2004 11 GMJ https://doi.org/10.1515/GMJ.2004.229 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.1515/GMJ.2004.229 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Gachechiladze A. A. Razmadze Mathematical Institute, Georgian Academy of Sciences, 1, M. Aleksidze St., Tbilisi 0193, Georgia. E-mail: agach@rmi.acnet.ge NATIONALLICENCE 773 0- Georgian Mathematical Journal Walter de Gruyter GmbH & Co. KG 11/2(2004-06), 229-242 1072-947X 11:2<229 2004 11 GMJ CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter