On the Uniqueness of Solutions of Some Quasi-Variational Inequalities from Control Theory
Gespeichert in:
Verfasser / Beitragende:
[A. Gachechiladze]
Ort, Verlag, Jahr:
2004
Enthalten in:
Georgian Mathematical Journal, 11/2(2004-06), 229-242
Format:
Artikel (online)
Online Zugang:
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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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