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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Kiguradze, T. (1997)
Memoirs on Differential Equations and Mathematical Physics
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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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Michał Kisielewicz (1975)
Annales Polonici Mathematici
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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.
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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Hayashi, Shuhei (1999)
Annals of Mathematics. Second Series
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J. Kisyński (1970)
Colloquium Mathematicae
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R. Krasnodębski (1970)
Colloquium Mathematicae
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Romanov, V. G. (2003)
Sibirskij Matematicheskij Zhurnal
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Kaloshin, Vadim Yu. (1999)
Annals of Mathematics. Second Series
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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.
Carvalho e Silva, Jaime (1988)
Portugaliae mathematica
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Nguyen Doan Tuan, Pham Viet Duc (2005)
Annales Polonici Mathematici
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We prove the invariance of hyperbolic imbeddability under holomorphic fiber bundles with compact hyperbolic fibers. Moreover, we show an example concerning the relation between the Kobayashi relative intrinsic pseudo-distance of a holomorphic fiber bundle and the one in its base.