On the Uniqueness of Solutions of Some Quasi-Variational Inequalities from Control Theory

Verfasser / Beitragende:
[A. Gachechiladze]
Ort, Verlag, Jahr:
2004
Enthalten in:
Georgian Mathematical Journal, 11/2(2004-06), 229-242
Format:
Artikel (online)
ID: 378921029
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024 7 0 |a 10.1515/GMJ.2004.229  |2 doi 
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100 1 |a Gachechiladze  |D A.  |u A. Razmadze Mathematical Institute, Georgian Academy of Sciences, 1, M. Aleksidze St., Tbilisi 0193, Georgia. E-mail: agach@rmi.acnet.ge 
245 1 0 |a On the Uniqueness of Solutions of Some Quasi-Variational Inequalities from Control Theory  |h [Elektronische Daten]  |c [A. Gachechiladze] 
520 3 |a 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. 
540 |a © Heldermann Verlag 
690 7 |a Variational and quasi-variational inequalities  |2 nationallicence 
690 7 |a impulse control  |2 nationallicence 
690 7 |a dynamic programming  |2 nationallicence 
690 7 |a implicit Signorini problem  |2 nationallicence 
773 0 |t Georgian Mathematical Journal  |d Walter de Gruyter GmbH & Co. KG  |g 11/2(2004-06), 229-242  |x 1072-947X  |q 11:2<229  |1 2004  |2 11  |o GMJ 
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950 |B NATIONALLICENCE  |P 100  |E 1-  |a Gachechiladze  |D A.  |u A. Razmadze Mathematical Institute, Georgian Academy of Sciences, 1, M. Aleksidze St., Tbilisi 0193, Georgia. E-mail: agach@rmi.acnet.ge 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Georgian Mathematical Journal  |d Walter de Gruyter GmbH & Co. KG  |g 11/2(2004-06), 229-242  |x 1072-947X  |q 11:2<229  |1 2004  |2 11  |o GMJ 
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