On sufficient conditions of existence and uniqueness of periodic in a strip solutions of nonlinear hyperbolic equations.
Kiguradze, T. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Kiguradze, T. (1997)
Memoirs on Differential Equations and Mathematical Physics
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P. S. Milojević (1990)
Publications de l'Institut Mathématique
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N. Aoki, Kazumine Moriyasu, N. Sumi (2001)
Fundamenta Mathematicae
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We show that the C¹-interior of the set of maps satisfying the following conditions: (i) periodic points are hyperbolic, (ii) singular points belonging to the nonwandering set are sinks, coincides with the set of Axiom A maps having the no cycle property.
Kiguradze, Tariel (1994)
Memoirs on Differential Equations and Mathematical Physics
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Virpi Kauko (2000)
Fundamenta Mathematicae
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We discuss the tree structures of the sublimbs of the Mandelbrot set M, using internal addresses of hyperbolic components. We find a counterexample to a conjecture by Eike Lau and Dierk Schleicher concerning topological equivalence between different trees of visible components, and give a new proof to a theorem of theirs concerning the periods of hyperbolic components in various trees.
Kántor, Sándor (1998)
Beiträge zur Algebra und Geometrie
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R. Krasnodębski (1970)
Colloquium Mathematicae
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Michał Kisielewicz (1975)
Annales Polonici Mathematici
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Avalishvili, G., Gordeziani, D. (1999)
Bulletin of TICMI
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Sudhanshu K. Ghoshal, Abha Ghoshal, M. Abu-Masood (1977)
Annales Polonici Mathematici
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J. Kisyński (1970)
Colloquium Mathematicae
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Jarosław Kosiorek, Andrzej Matraś (2004)
Bulletin of the Polish Academy of Sciences. Mathematics
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The model of the Minkowski plane in the projective plane with a fixed conic sheds a new light on the connection between the Minkowski and hyperbolic geometries. The construction of the Minkowski plane in a hyperbolic plane over a Euclidean field is given. It is also proved that the geometry in an orthogonal bundle of circles is hyperbolic in a natural way.
Georgeta Teodoru (2004)
Annales Polonici Mathematici
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We consider the Picard-Ionescu problem for hyperbolic inclusions with modified argument. Existence of a local solution is proved and some properties of the set of solutions are established.
Jan Dymara, Damian Osajda (2007)
Fundamenta Mathematicae
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We prove that the boundary of a right-angled hyperbolic building is a universal Menger space. As a consequence, the 3-dimensional universal Menger space is the boundary of some Gromov-hyperbolic group.
Douglas Dunham (1999)
Visual Mathematics
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Nicolas Curien, Wendelin Werner (2013)
Journal of the European Mathematical Society
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We construct and study the unique random tiling of the hyperbolic plane into ideal hyperbolic triangles (with the three corners located on the boundary) that is invariant (in law) with respect to Möbius transformations, and possesses a natural spatial Markov property that can be roughly described as the conditional independence of the two parts of the triangulation on the two sides of the edge of one of its triangles.
Romanov, V. G. (2003)
Sibirskij Matematicheskij Zhurnal
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