Results 11 to 20 of about 3,320,198 (344)
Local Fractal Interpolation on Unbounded Domains [PDF]
AbstractWe define fractal interpolation on unbounded domains for a certain class of topological spaces and construct local fractal functions. In addition, we derive some properties of these local fractal functions, consider their tensor products, and give conditions for local fractal functions on unbounded domains to be elements of Bochner–Lebesgue ...
Peter R. Massopust
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Clifford Analysis over Unbounded Domains
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Gürlebeck, Klaus +3 more
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Abstract Motivated by the classical bounded Hölder domains, we introduce the notion of an unbounded simply connected Hölder domain. We prove analytic and geometric characterizations of these domains with the aid of the spherical metric and the hyperbolic metric.
Karafyllia, Christina
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Method of Infinite System of Equations for Problems in Unbounded Domains [PDF]
Many problems of mechanics and physics are posed in unbounded (or infinite) domains. For solving these problems one typically limits them to bounded domains and find ways to set appropriate conditions on artificial boundaries or use quasi-uniform grid ...
Dang Quang A, Tran Dinh Hung
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Semilinear elliptic problems in unbounded domains with unbounded boundary
This paper deals with a class of singularly perturbed nonlinear elliptic problems (P ε ) with subcritical nonlinearity. The coefficient of the linear part is assumed to concentrate in a point of the domain, as ε→0, and the domain is supposed to be unbounded and with unbounded boundary ...
Molle, R, MOLLE, RICCARDO
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On the Existence of Optimal Potentials on Unbounded Domains [PDF]
A minimization problem is considered where the unknown is the potential $V(x)$ or, more generally, a measure $\mu$ of a Schrödinger equation. More precisely, let $\mu$ be a capacitary measure that can be decomposed as $\mu=\mu^a+\mu^s+\mu^\infty$ where $\mu^a$ and $\mu^s$ are respectively the absolutely continuous and the singular parts of $\mu$ with ...
Giuseppe M. Buttazzo +2 more
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This paper aims to study the existence and uniqueness of the solution for nonlocal multiorder implicit differential equation involving Hilfer fractional derivative on unbounded domains a , ∞ , a ≥ 0 , in an applicable Banach space by
S. T. Thabet, I. Kedim
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In this paper, we investigate a multi-order $ \varrho $-Hilfer fractional pantograph implicit differential equation on unbounded domains $ (a, \infty), a\geq 0 $.
S. T. Thabet +4 more
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Solvability of a ϱ-Hilfer Fractional Snap Dynamic System on Unbounded Domains
This paper is devoted to studying the ϱ-Hilfer fractional snap dynamic system under the ϱ-Riemann–Liouville fractional integral conditions on unbounded domains [a,∞),a≥0, for the first time. The results concerning the existence and uniqueness, along with
S. T. Thabet +4 more
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Unbounded fast escaping wandering domains [PDF]
We introduce a new approximation technique into the context of complex dynamics that allows us to construct examples of transcendental entire functions with unbounded wandering domains.
Evdoridou, Vasiliki +2 more
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