Results 21 to 30 of about 353,858 (83)
Counting Closed Orbits for the Dyck Shift
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 The prime orbit theorem and Mertens’ theorem are proved for a shift dynamical system of infinite type called the Dyck shift. Different and more direct methods are used in the proof without any complicated theoretical discussion.
Fahad Alsharari +3 more
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Spatial Behavior of a Coupled System of Wave‐Plate Type
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 The spatial behavior of a coupled system of wave‐plate type is studied. We get the alternative results of Phragmén‐Lindelöf type in terms of an area measure of the amplitude in question based on a first‐order differential inequality. We also get the spatial decay estimates based on a second‐order differential inequality.
Gusheng Tang +3 more
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Distortion of Quasiregular Mappings and Equivalent Norms on Lipschitz‐Type Spaces
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 We prove a quasiconformal analogue of Koebe’s theorem related to the average Jacobian and use a normal family argument here to prove a quasiregular analogue of this result in certain domains in n‐dimensional space. As an application, we establish that Lipschitz‐type properties are inherited by a quasiregular function from its modulo. We also prove some
Miodrag Mateljević, Ljubomir B. Ćirić
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On Bilipschitz Extensions in Real Banach Spaces
Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013 Suppose that E and E′ denote real Banach spaces with dimension at least 2, that D ≠ E and D′ ≠ E′ are bounded domains with connected boundaries, that f : D → D′ is an M‐QH homeomorphism, and that D′ is uniform. The main aim of this paper is to prove that f extends to a homeomorphism f¯:D¯→D¯′ and f-∣∂D is bilipschitz if and only if f is bilipschitz in ...
M. Huang, Y. Li, Beong In Yun
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Surfaces of Constant Curvature in the Pseudo‐Galilean Space
International Journal of Mathematics and Mathematical Sciences, Volume 2012, Issue 1, 2012., 2012 We develop the local theory of surfaces immersed in the pseudo‐Galilean space, a special type of Cayley‐Klein spaces. We define principal, Gaussian, and mean curvatures. By this, the general setting for study of surfaces of constant curvature in the pseudo‐Galilean space is provided. We describe surfaces of revolution of constant curvature.
Željka Milin Šipuš +2 more
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Equivalence of the Apollonian and Its Inner Metric
International Journal of Mathematics and Mathematical Sciences, Volume 2010, Issue 1, 2010., 2010 We show that the equivalence of the Apollonian metric and its inner metric remains unchanged by the removal of a point from the domain. For this we need to assume that the complement of the domain is not contained in a hyperplane. This improves a result of the authors wherein the same conclusion was reached under the stronger assumption that the ...
Peter Hästö +3 more
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The Apollonian metric: limits of the comparison and bilipschitz properties
Abstract and Applied Analysis, Volume 2003, Issue 20, Page 1141-1158, 2003., 2003 The Apollonian metric is a generalization of the hyperbolic metric. It is defined in arbitrary domains in ℝn. In this paper, we derive optimal comparison results between this metric and the jG metric in a large class of domains. These results allow us to prove that Euclidean bilipschitz mappings have small Apollonian bilipschitz constants in a domain G
Peter A. Hästö
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Universal convexity for quasihyperbolic type metrics [PDF]
Conformal Geometry and Dynamics of the American Mathematical Society, 2016 We characterize the open sets in the sphere that are geodesically convex in any containing domain with respect to various conformal metrics.
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Comparative Gromov hyperbolicity results for the hyperbolic and quasihyperbolic metrics [PDF]
Complex Variables and Elliptic Equations, 2009 In this article, we investigate the Gromov hyperbolicity of Denjoy domains equipped with the hyperbolic or the quasihyperbolic metric. The focus are on comparative or decomposition results, which allow us to reduce the question of whether a given domain is Gromov hyperbolic to a series of questions concerning simpler domains.
Hästö, Peter +3 more
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Discrete Dynamics in Nature and Society, Volume 2, Issue 1, Page 53-72, 1998., 1998 In this paper the definition of attractor of a dissipative dynamical system is introduced. The classification of the existing types of attractors and the analysis of their characteristics are presented. The discussed problems are illustrated by the results of numerical simulations using a number of real examples that provides the possibility to ...
Vadim S. Anishchenko +1 more
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