Marie Dvorská (2013)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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The aim of this paper is to summarize basic facts about -stable at a point vector functions and existing results for certain vector constrained programming problem with -stable data.
Ginchev, Ivan (2010)
Union of Bulgarian Mathematicians
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Иван Гинчев - Класът на ℓ-устойчивите в точка функции, дефиниран в [2] и разширяващ класа на C1,1 функциите, се обобщава от скаларни за векторни функции. Доказани са някои свойства на ℓ-устойчивите векторни функции. Показано е, че векторни оптимизационни задачи с ограничения допускат условия от втори ред изразени чрез посочни производни, което обобщава резултати от [2] и [5]. The class of ℓ-stable at a point functions defined in [2] and being larger than the class of C1,1...
J. Auslander, P. Seibert (1964)
Annales de l'institut Fourier
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Les auteurs étudient la notion de prolongement au sens de T. Ura et ses relations avec la notion d’ensembles positivement invariants. La stabilité au sens de Liapounoff est équivalente à l’invariance par prolongement. Les auteurs dégagent ensuite la notion de “prolongements abstraits” et les notions de stabilité correspondantes; la stabilité absolue (associée au prolongement minimal transitif) et la stabilité asymptotique jouent un rôle important.
Bohdan Maslowski (1986)
Časopis pro pěstování matematiky
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Stutson, Donna, Vatsala, A.S. (1996)
Journal of Applied Mathematics and Stochastic Analysis
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Vladimir Emelichev, Evgeny Gurevsky, Kirill Kuzmin (2010)
Control and Cybernetics
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Ewa Drgas-Burchardt (2013)
Discussiones Mathematicae Graph Theory
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In this note we present some sufficient conditions for the uniqueness of a stable matching in the Gale-Shapley marriage classical model of even size. We also state the result on the existence of exactly two stable matchings in the marriage problem of odd size with the same conditions.