Maps of the interval Ljapunov stable on the set of nonwandering points.
Fedorenko, V.V., Smítal, J. (1991)
Acta Mathematica Universitatis Comenianae. New Series
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Fedorenko, V.V., Smítal, J. (1991)
Acta Mathematica Universitatis Comenianae. New Series
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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.
Yang, Xiao-Song, Zhou, Ping (2002)
Discrete Dynamics in Nature and Society
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Ponomarenko, Vadim (2004)
International Journal of Mathematics and Mathematical Sciences
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Dušan Bednařík, Karel Pastor (2007)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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The aim of our article is to present a proof of the existence of local minimizer in the classical optimality problem without constraints under weaker assumptions in comparisons with common statements of the result. In addition we will provide rather elementary and self-contained proof of that result.
Stutson, Donna, Vatsala, A.S. (1996)
Journal of Applied Mathematics and Stochastic Analysis
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Berezansky, Leonid, Braverman, Elena (2009)
Advances in Difference Equations [electronic only]
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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.
Anand Pillay (1980-1982)
Groupe d'étude de théories stables
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