Results 21 to 30 of about 1,391,367 (292)
On the stability of φ-uniform domains [On the stability of phi-uniform domains]
Monatshefte für Mathematik, 2013 In this paper, \(\varphi\)-uniform domains are studied. Before giving below the definition of a \(\varphi\)-uniform domain, let me give more details about some of the obtained results. Given a \(\varphi\)-uniform domain \(G\), sufficient conditions on a subset \(E\subset G\) are given such that \(G\setminus E\) is \(\varphi'\)-uniform for some ...
Vuorinen Matti Keijo Kustaa +1 more
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Uniform stability of (a,k)-regularized families
Asymptotic Analysis, 2013 In this article we study the uniform stability of an (a,k)-regularized family {S(t)}t≥0 generated by a closed operator A. We give sufficient conditions, on the scalar kernels a, k and the operator A, to ensure the uniform stability of the family {S(t)}t≥0 in Hilbert spaces. Our main result is a generalization of Theorem 1 in [Proc. Amer. Math.
Carlos Lizama +2 more
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Finite and uniform stability of sphere coverings [PDF]
Discrete & Computational Geometry, 1995 A ball covering of Euclidean \(d\)-space \(E^d\) is called \(n\)-stable if no subset of \(n\) balls can be moved such that the covering property is maintained. The covering is said to be finitely stable if it is \(n\)- stable for every positive integer \(n\).
András Bezdek +2 more
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Uniform Regularity of Set-Valued Mappings and Stability of Implicit Multifunctions [PDF]
Journal of Nonsmooth Analysis and Optimization, 2021 We propose a unifying general (i.e. not assuming the mapping to have any particular structure) view on the theory of regularity and clarify the relationships between the existing primal and dual quantitative sufficient and necessary conditions including ...
Nguyen Duy Cuong, Alexander Y. Kruger
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Uniform K-stability, Duistermaat-Heckman measures and singularities of pairs [PDF]
, 2016 The purpose of the present paper is to set up a formalism inspired from non-Archimedean geometry to study K-stability. We first provide a detailed analysis of Duistermaat-Heckman measures in the context of test configurations, characterizing in ...
Boucksom, Sébastien +2 more
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On the stability of $ϕ$-uniform domains
, 2008 We study two metrics, the quasihyperbolic metric and the distance ratio metric of a subdomain $G \subset {\mathbb R}^n$. In the sequel, we investigate a class of domains, so called $φ$-uniform domains, defined by the property that these two metrics are comparable with respect to a homeomorphism $φ$ from $[0,\infty)$ to itself.
Klén, R. +3 more
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013 We consider the system of Volterra integro-dynamic ...
Advar Murat, Raffoul Youssef N.
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Influence of the number of predecessors in interaction within acceleration-based flow models
, 2017 In this paper, the stability of the uniform solutions is analysed for microscopic flow models in interaction with $K\ge1$ predecessors. We calculate general conditions for the linear stability on the ring geometry and explore the results with particular ...
Chraibi, Mohcine +3 more
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Lyapunov functions for linear nonautonomous dynamical equations on time scales [PDF]
, 2006 The existence of a Lyapunov function is established following a method of Yoshizawa for the uniform exponential asymptotic stability of the zero solution of a nonautonomous linear dynamical equation on a time scale with uniformly bounded ...
Kloeden, Peter E., Zmorzynska, Alexandra
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Stable non-uniform black strings below the critical dimension
, 2012 The higher-dimensional vacuum Einstein equation admits translationally non-uniform black string solutions. It has been argued that infinitesimally non-uniform black strings should be unstable in 13 or fewer dimensions and otherwise stable.
B Kleihaus +22 more
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