Displaying similar documents to “The Convergence of Successive Approximations for Boundary Value Problems of Hyperbolic Equations in the Banach Space”

Boundaries of right-angled hyperbolic buildings

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.

The Banach-Tarski paradox for the hyperbolic plane (II)

Jan Mycielski, Grzegorz Tomkowicz (2013)

Fundamenta Mathematicae

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The second author found a gap in the proof of the main theorem in [J. Mycielski, Fund. Math. 132 (1989), 143-149]. Here we fill that gap and add some remarks about the geometry of the hyperbolic plane ℍ².

An existence theorem for an hyperbolic differential inclusion in Banach spaces

Mouffak Benchohra, Sotiris K. Ntouyas (2002)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

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In this paper, we investigate the existence of solutions on unbounded domain to a hyperbolic differential inclusion in Banach spaces. We shall rely on a fixed point theorem due to Ma which is an extension to multivalued between locally convex topological spaces of Schaefer's theorem.