On some applications of Bogoliubov method for hyperbolic equations
Michał Kisielewicz (1975)
Annales Polonici Mathematici
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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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Yuriy Golovaty, Volodymyr Flyud (2017)
Open Mathematics
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We are interested in the evolution phenomena on star-like networks composed of several branches which vary considerably in physical properties. The initial boundary value problem for singularly perturbed hyperbolic differential equation on a metric graph is studied. The hyperbolic equation becomes degenerate on a part of the graph as a small parameter goes to zero. In addition, the rates of degeneration may differ in different edges of the graph. Using the boundary layer method the complete...
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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R. Krasnodębski (1970)
Colloquium Mathematicae
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Ilija Knezević, Radmila Sazdanović, Srdjan Vukmirović (2002)
Visual Mathematics
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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.
Romanov, V. G. (2003)
Sibirskij Matematicheskij Zhurnal
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Demirel, Oğuzhan, Soytürk, Emine (2008)
Novi Sad Journal of Mathematics
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Claudio Citrini (1979)
Manuscripta mathematica
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Douglas Dunham (1999)
Visual Mathematics
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Oğuzhan Demirel (2009)
Commentationes Mathematicae Universitatis Carolinae
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In [Comput. Math. Appl. 41 (2001), 135--147], A. A. Ungar employs the Möbius gyrovector spaces for the introduction of the hyperbolic trigonometry. This Ungar's work plays a major role in translating some theorems from Euclidean geometry to corresponding theorems in hyperbolic geometry. In this paper we explore the theorems of Stewart and Steiner in the Poincaré disc model of hyperbolic geometry.