Results 31 to 40 of about 1,149,485 (65)
Recent Progress in Stability and Stabilization of Systems with Time‐Delays
Mathematical Problems in Engineering, Volume 2017, Issue 1, 2017., 2017 This paper overviews the research investigations pertaining to stability and stabilization of control systems with time‐delays. The prime focus is the fundamental results and recent progress in theory and applications. The overview sheds light on the contemporary development on the linear matrix inequality (LMI) techniques in deriving both delay ...
Magdi S. Mahmoud, Sabri Arik
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Determining a time‐varying potential in time‐fractional diffusion from observation at a single point
Numerical Methods for Partial Differential Equations, Volume 40, Issue 6, November 2024.Abstract We discuss the identification of a time‐dependent potential in a time‐fractional diffusion model from a boundary measurement taken at a single point. Theoretically, we establish a conditional Lipschitz stability for this inverse problem. Numerically, we develop an easily implementable iterative algorithm to recover the unknown coefficient, and
Siyu Cen, Kwancheol Shin, Zhi Zhou
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Cyclic‐Schottky strata of Schottky space
Bulletin of the London Mathematical Society, Volume 56, Issue 11, Page 3412-3427, November 2024.Abstract Schottky space Sg${\mathcal {S}}_{g}$, where g⩾2$g \geqslant 2$ is an integer, is a connected complex orbifold of dimension 3(g−1)$3(g-1)$; it provides a parametrization of the PSL2(C)${\rm PSL}_{2}({\mathbb {C}})$‐conjugacy classes of Schottky groups Γ$\Gamma$ of rank g$g$. The branch locus Bg⊂Sg${\mathcal {B}}_{g} \subset {\mathcal {S}}_{g}$,
Rubén A. Hidalgo, Milagros Izquierdo
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Assumed strain methods in micromechanics, laminate composite voxels and level sets
International Journal for Numerical Methods in Engineering, Volume 125, Issue 11, 15 June 2024.Abstract This work deals with the composite voxel method, which—in its original form—furnishes voxels containing more than one material with a surrogate material law accounting for the heterogeneity in the voxel. We show that the laminate composite voxel technique naturally arises as an assumed strain method, that is, the general framework introduced ...
Jonas Lendvai, Matti Schneider
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Compact convex sets free of inner points in infinite‐dimensional topological vector spaces
Mathematische Nachrichten, Volume 297, Issue 5, Page 1668-1677, May 2024.Abstract An inner point of a non‐singleton convex set M$M$ is a point x∈M$x\in M$ satisfying that for all m∈M∖{x}$m\in M\setminus \lbrace x\rbrace$ there exists n∈M∖{m,x}$n\in M\setminus \lbrace m,x\rbrace$ such that x∈(m,n)$x\in (m,n)$. We prove the existence of convex compact subsets free of inner points in the infinite‐dimensional setting. Following
Almudena Campos‐Jiménez +1 more
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Delta‐points and their implications for the geometry of Banach spaces
Journal of the London Mathematical Society, Volume 109, Issue 5, May 2024.Abstract We show that the Lipschitz‐free space with the Radon–Nikodým property and a Daugavet point recently constructed by Veeorg is in fact a dual space isomorphic to ℓ1$\ell _1$. Furthermore, we answer an open problem from the literature by showing that there exists a superreflexive space, in the form of a renorming of ℓ2$\ell _2$, with a Δ$\Delta ...
Trond A. Abrahamsen +6 more
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Sesquilinear quantum stochastic analysis in Banach space [PDF]
, 2014 A theory of quantum stochastic processes in Banach space is initiated. The processes considered here consist of Banach space valued sesquilinear maps.
Lindsay, Martin +2 more
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Boundaries and polyhedral Banach spaces [PDF]
, 2014 We show that if $X$ and $Y$ are Banach spaces, where $Y$ is separable and polyhedral, and if $T:X \to Y$ is a bounded linear operator such that $T^*(Y^*)$ contains a boundary $B$ of $X$, then $X$ is separable and isomorphic to a polyhedral space.
Smith, Richard J +2 more
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Genericity and amalgamation of classes of Banach spaces [PDF]
, 2007 We study universality problems in Banach space theory. We show that if A is an analytic class, in the Effros–Borel structure of subspaces of C([0,1]), of non-universal separable Banach spaces, then there exists a non-universal separable Banach space Y ...
Argyros, Spiros A. +5 more
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On the numerical index of polyhedral Banach spaces [PDF]
, 2018 The computation of the numerical index of a Banach space is an intriguing problem, even in case of two-dimensional real polyhedral Banach spaces. In this article we present a general method to estimate the numerical index of any finite-dimensional real ...
Debmalya Sain +7 more
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