Results 41 to 50 of about 36,851 (159)

On the structure of spaces of vector-valued Lipschitz functions

, 2016
We analyse the strong connections between spaces of vector-valued Lipschitz functions and spaces of linear continuous operators. We apply these links to study duality, Schur properties and norm attainment in the former class of spaces as well as in their
García-Lirola, Luis, Petitjean, Colin, Zoca, Abraham Rueda   +2 more
core   +3 more sources

Pełczyński’s Property (V$$^*$$) in Lipschitz-Free Spaces

Results in Mathematics
We prove that Pelczyński's property (V$^*$) is locally determined for Lipschitz-free spaces, and obtain several sufficient conditions for it to hold. We deduce that $\mathcal{F}(M)$ has property (V$^*$) when the complete metric space $M$ is locally compact and purely 1-unrectifiable, a Hilbert space, or belongs to a class of Carnot-Carathéodory spaces ...
Ramón J. Aliaga, Eva Pernecká, Alicia Quero   +2 more
openaire   +3 more sources

On the analyzing of bifurcation properties of the one‐dimensional Mackey–Glass model by using a generalized approach

Mathematical Methods in the Applied Sciences, EarlyView.
The goal of this work is to look at how a nonlinear model describes hematopoiesis and its complexities utilizing commonly used techniques with historical and material links. Based on time delay, the Mackey–Glass model is explored in two instances. To offer a range, the relevance of the parameter impacting stability (bifurcation) is recorded.
Shuai Zhang, Yaya Wang, Hongyin Geng, Wei Gao, Esin Ilhan, Haci Mehmet Baskonus   +5 more
wiley   +1 more source

Pinching, Pontrjagin classes, and negatively curved vector bundles

, 2000
We prove several finiteness results for the class $M_{a,b,G,n}$ of $n$-manifolds that have fundamental groups isomorphic to $G$ and that can be given complete Riemannian metrics of sectional curvatures within $[a,b]$ where $a\le ...
Belegradek, Igor
core   +1 more source

Shape Derivatives of the Eigenvalues of the De Rham Complex for Lipschitz Deformations and Variable Coefficients: Part I

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We study eigenvalue problems for the de Rham complex on varying three‐dimensional domains. Our analysis includes the Helmholtz equation as well as the Maxwell system with mixed boundary conditions and non‐constant coefficients. We provide Hadamard‐type formulas for the shape derivatives under weak regularity assumptions on the domain and its ...
Pier Domenico Lamberti, Dirk Pauly, Michele Zaccaron   +2 more
wiley   +1 more source

Existence Analysis of a Three‐Species Memristor Drift‐Diffusion System Coupled to Electric Networks

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The existence of global weak solutions to a partial‐differential‐algebraic system is proved. The system consists of the drift‐diffusion equations for the electron, hole, and oxide vacancy densities in a memristor device, the Poisson equation for the electric potential, and the differential‐algebraic equations for an electric network.
Ansgar Jüngel, Tuấn Tùng Nguyến
wiley   +1 more source

A note on nonseparable Lipschitz-free spaces

Commentationes Mathematicae Universitatis Carolinae
We prove that several classical Banach space properties are equivalent to separability for the class of Lipschitz-free spaces, including Corson's property ($\mathcal{C}$), Talponen's Countable Separation Property, or being a Gâteaux differentiability space. On the other hand, we single out more general properties where this equivalence fails.
Aliaga, Ramón J., Grelier, Guillaume, Procházka, Antonín   +2 more
openaire   +4 more sources

Projections in Lipschitz‐free spaces induced by group actions

Mathematische Nachrichten, 2023
AbstractWe show that given a compact group G acting continuously on a metric space by bi‐Lipschitz bijections with uniformly bounded norms, the Lipschitz‐free space over the space of orbits (endowed with Hausdorff distance) is complemented in the Lipschitz‐free space over . We also investigate the more general case when G is amenable, locally compact
Cúth, M. (Marek), Doucha, M. (Michal)
openaire   +3 more sources

Finite‐Time Disturbance Observer‐Based Nonlinear Robust Adaptive Control of Hydraulic Manipulator With Parameter Identification

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT Hydraulic manipulators exhibit strong coupling, pronounced nonlinearities, and significant modeling uncertainties, which hinder high‐precision motion control. This paper proposes a finite‐time disturbance observer–based nonlinear robust adaptive control (RAC‐FTDO) framework enhanced by a physically consistent dynamic parameter identification ...
Tianyu Gao, Xianglong Liang, Wenxiang Deng, Jianyong Yao   +3 more
wiley   +1 more source

On large ℓ₁-sums of Lipschitz-free spaces and applications

Proceedings of the American Mathematical Society, 2022
We prove that the Lipschitz-free space over a Banach space X X of density κ \kappa , denoted by F ( X ) \mathcal {F}(X) , is linearly isomorphic to its ℓ 1 \ell _1 -sum ( ⨁
Candido, Leandro UNIFESP, Guzmán, Hector Hecsan Torres UNIFESP   +1 more
openaire   +4 more sources