Results 61 to 70 of about 129,728 (246)

On the extremal semi-Lipschitz functions

Journal of Numerical Analysis and Approximation Theory, 2002
The extremal elements of the unit balls of Banach spaces play an important role in the study of the geometry of the space as well as in various applications.
Costică Mustăţa
doaj   +2 more sources

Asymptotics for the Spectrum of the Laplacian in Thin Bars with Varying Cross Sections

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We consider spectral problems for the Laplace operator in 3D rod structures with a small cross section of diameter O(ε)$$ O\left(\varepsilon \right) $$, ε$$ \varepsilon $$ being a positive parameter. The boundary conditions are Dirichlet (Neumann, respectively) on the bases of this structure, and Neumann on the lateral boundary.
Pablo Benavent‐Ocejo, Delfina Gómez, Maria‐Eugenia Pérez‐Martínez   +2 more
wiley   +1 more source

Smooth Approximation of Lipschitz Functions on Finsler Manifolds

Journal of Function Spaces and Applications, 2013
We study the smooth approximation of Lipschitz functions on Finsler manifolds, keeping control on the corresponding Lipschitz constants. We prove that, given a Lipschitz function f:M→ℝ defined on a connected, second countable Finsler manifold M, for each
M. I. Garrido, J. A. Jaramillo, Y. C. Rangel   +2 more
doaj   +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

Compactness in spaces of Lipschitz functions

Journal of Numerical Analysis and Approximation Theory, 2001
The aim of this paper is to prove a compactness criterium in spaces of Lipschitz and Frechet dierentiable mappings.
Ştefan Cobzaş
doaj   +2 more sources

ПРЕОБРАЗОВАНИЕ ДАНКЛЯ ФУНКЦИЙ, УДОВЛЕТВОРЯЮЩИХ УСЛОВИЮ ЛИПШИЦА

Проблемы анализа, 2007
The Dunkl transform of functions satisfying certain Lipschitz conditions is studied in this paper. The analogue of the theorem of E. Titchmarsh about the description of image under Dunkl transform of functions satisfying certain Lipschitz conditions is ...
БЕЛКИНА Е.С.
doaj  

From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We investigate the transition between stability and chaos in the damped Klein‐Gordon equation, a fundamental model for wave propagation and energy dissipation. Using semigroup methods and spectral criteria, we derive explicit thresholds that determine when the system exhibits asymptotic stability and when it displays strong chaotic dynamics ...
Carlos Lizama, Marina Murillo‐Arcila, Julio Puerta‐Fernández   +2 more
wiley   +1 more source

Private Stochastic Optimization with Large Worst-Case Lipschitz Parameter

The Journal of Privacy and Confidentiality
We study differentially private (DP) stochastic optimization (SO) with loss functions whose worst-case Lipschitz parameter over all data points may be huge or infinite.
Andrew Lowy, Meisam Razaviyayn
doaj   +1 more source

Random Chemostats with Competition and Different Kinetics to Investigate the Growth of the Gut Microbiome

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We investigate some chemostat models incorporating wall growth, competition, random fluctuations on the dilution rate, and different consumption functions (Monod and Haldane). We analyze the asymptotic behavior of the solutions of the corresponding random differential systems to establish conditions on the model parameters under which the ...
Javier López‐de‐la‐Cruz, Felipe Rivero, Carlos R. Takaessu Jr.   +2 more
wiley   +1 more source

On Lipschitz ball noncollapsing functions and uniform co-Lipschitz mappings of the plane

Abstract and Applied Analysis, 2005
We give a sharp estimate on the cardinality of point preimages of a uniform co-Lipschitz mapping on the plane. We also give a necessary and sufficient condition for a ball noncollapsing Lipschitz function to have a point with infinite preimage.
Olga Maleva
doaj   +1 more source