Results 41 to 50 of about 4,882 (216)

Finite-Approximate Controllability for Fractional Composite Relaxation Equations with Different Nonlocal Conditions

Fractal and Fractional
In this paper, the finite-approximate controllability for a class of fractional composite relaxation equations with different nonlocal conditions is discussed.
Yixing Liang, Zhenbin Fan, Gang Li
doaj   +1 more source

Roles of Weight Functions to a Nonlocal Porous Medium Equation with Inner Absorption and Nonlocal Boundary Condition

Abstract and Applied Analysis, 2012
This work is concerned with an initial boundary value problem for a nonlocal porous medium equation with inner absorption and weighted nonlocal boundary condition.
Zhong Bo Fang, Jianyun Zhang, Su-Cheol Yi   +2 more
doaj   +1 more source

First order systems of odes with nonlinear nonlocal boundary conditions

Electronic Journal of Qualitative Theory of Differential Equations, 2015
In this article, we prove existence of solutions for a nonlocal boundary value problem with nonlinearity in a nonlocal condition. Our method is based upon Mawhin's coincidence theory.
Igor Kossowski, Bogdan Przeradzki
doaj   +1 more source

Nonlocal operators with Neumann conditions

Dissertationes Mathematicae
We construct a strong Markov process corresponding to the Dirichlet form of Servadei and Valdinoci and use the process to solve the corresponding Neumann boundary problem for the fractional Laplacian and the half-line.
Bogdan, Krzysztof, Fafuła, Damian, Sztonyk, Paweł   +2 more
openaire   +2 more sources

Recovering Dirac operator with nonlocal boundary conditions

Journal of Mathematical Analysis and Applications, 2016
11 ...
Yang, Chuan-Fu, Yurko, Vjacheslav
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Nonlocal Conduction in a Metawire

Advanced Materials, Volume 37, Issue 13, April 2, 2025.
A 1D metawire composed of twisted copper wires is designed and realized. This metamaterial exhibits pronounced effects of nonlocal electric conduction according to Ohm's law. The current at one location not only depends on the electric field at that location but also on other locations.
Julio Andrés Iglesias Martínez, Yi Chen, Ke Wang, Martin Wegener   +3 more
wiley   +1 more source

Accelerating Catalyst Materials Discovery With Large Artificial Intelligence Models

Angewandte Chemie, EarlyView.
AI‐empowered catalysis research via integrated database platform, universal machine learning interatomic potentials (MLIPs), and large language models (LLMs). ABSTRACT The integration of artificial intelligence (AI) into catalysis is fundamentally reshaping the research paradigm of catalyst discovery.
Di Zhang, Yuanzheng Chen, Chuanyu Liu, Yan Liu, Hongliang Xin, Jiayu Peng, Pengfei Ou, Hao Li   +7 more
wiley   +2 more sources

Investigation of a discrete Sturm–Liouville problem with two-point nonlocal boundary condition and natural approximation of a derivative in boundary condition

Mathematical Modelling and Analysis
The article investigates a discrete Sturm–Liouville problem with one natural boundary condition and another nonlocal two-point boundary condition. We analyze zeroes, poles and critical points of the characteristic function and how the properties of this
Kristina Bingelė, Artūras Štikonas
doaj   +1 more source

Investigation of Negative Critical Points of the Characteristic Function for Problems with Nonlocal Boundary Conditions

Nonlinear Analysis, 2008
In this paper the Sturm-Liouville problem with one classical and the other nonlocal two-point or integral boundary condition is investigated. Critical points of the characteristic function are analyzed.
S. Pečiulytė, O. Štikonienė, A. Štikonas   +2 more
doaj   +1 more source

A PARABOLIC SYSTEM WITH NONLOCAL BOUNDARY CONDITIONS AND NONLOCAL SOURCES

Communications of the Korean Mathematical Society, 2012
In this work, the authors study the blow-up properties of so- lutions to a parabolic system with nonlocal boundary conditions and non- local sources. Conditions for the existence of global or blow-up solutions are given. Global blow-up property and precise blow-up rate estimates are also obtained. v(x;t) = R k2(x;y)v(y;t)dy; x2 @; t >0; u(x;0) = u0(x);
Wenjie Gao, Yuzhu Han
openaire   +2 more sources