Zobrazeno 1 - 10
of 361
pro vyhledávání: '"45A05"'
Autor:
Thinh, L. V., Tuan, H. T.
This paper is concerned with a generalized Halanay inequality and its applications to fractional-order delay linear systems. First, based on a sub-semigroup property of Mittag-Leffler functions, a generalized Halanay inequality is established. Then,
Externí odkaz:
http://arxiv.org/abs/2410.09370
Autor:
Thai, H. D., Tuan, H. T.
This paper systematically treats the asymptotic behavior of many (linear/nonlinear) classes of higher-order fractional differential equations with multiple terms. To do this, we utilize the characteristics of Caputo fractional differentiable function
Externí odkaz:
http://arxiv.org/abs/2410.09369
We study the asymptotic error between the finite element solutions of nonlocal models with a bounded interaction neighborhood and the exact solution of the limiting local model. The limit corresponds to the case when the horizon parameter, the radius
Externí odkaz:
http://arxiv.org/abs/2409.09270
In this paper, we consider a class of discontinuous Galerkin (DG) methods for one-dimensional nonlocal diffusion (ND) problems. The nonlocal models, which are integral equations, are widely used in describing many physical phenomena with long-range i
Externí odkaz:
http://arxiv.org/abs/2408.07261
This work addresses the regularity of solutions for a nonlocal wave equation over the space of periodic distributions. The spatial operator for the nonlocal wave equation is given by a nonlocal Laplace operator with a compactly supported integral ker
Externí odkaz:
http://arxiv.org/abs/2408.00912
Neural field equations with time-periodic external inputs and some applications to visual processing
Autor:
Bolelli, Maria Virginia, Prandi, Dario
The aim of this work is to present a mathematical framework for the study of flickering inputs in visual processing tasks. When combined with geometric patterns, these inputs influence and induce interesting psychophysical phenomena, such as the MacK
Externí odkaz:
http://arxiv.org/abs/2407.17294
Autor:
Sánchez-Vizuet, Tonatiuh
We propose a boundary integral formulation for the dynamic problem of electromagnetic scattering and transmission by homogeneous dielectric obstacles. In the spirit of Costabel and Stephan, we use the transmission conditions to reduce the number of u
Externí odkaz:
http://arxiv.org/abs/2407.05823
Autor:
Molinarolo, Riccardo
In this paper we study the existence of solutions in parabolic Schauder space of a nonlinear mixed boundary value problem for the heat equation in a perforated domain. From a given regular open set $\Omega\subseteq\mathbb{R}^n$ we remove a cavity $\o
Externí odkaz:
http://arxiv.org/abs/2406.18315
We consider the heat equation in a domain that has a hole in its interior. We impose a Neumann condition on the exterior boundary and a nonlinear Robin condition on the boundary of the hole. The shape of the hole is determined by a suitable diffeomor
Externí odkaz:
http://arxiv.org/abs/2406.11365
We examine the transient scattered and transmitted fields generated when an incident electromagnetic wave impinges on a dielectric scatterer or a coated conductor embedded in an infinite space. By applying a boundary-field equation method, we reformu
Externí odkaz:
http://arxiv.org/abs/2406.05367