Results 41 to 50 of about 2,491,107 (193)

Schauder’s fixed-point theorem in approximate controllability problems

International Journal of Applied Mathematics and Computer Science, 2016
The main objective of this article is to present the state of the art concerning approximate controllability of dynamic systems in infinite-dimensional spaces.
Babiarz Artur, Klamka Jerzy, Niezabitowski Michał   +2 more
doaj   +1 more source

On nonlinear spectra for some nonlocal boundary value problems

Electronic Journal of Qualitative Theory of Differential Equations, 2008
We consider some second order nonlinear differential equation with nonlocal (integral) condition. This spectrum differs essentially from the known ones.
Natalija Sergejeva
doaj   +1 more source

Experiments on Nonlocal Fluid‐Flow Metamaterials

Advanced Science, EarlyView.
A nonlocal fluid‐flow metamaterial composed of standard microfluidic tubes and connectors is designed. Hence, the current of the system at one position depends on the gradient of fluid flow at many other positions, leading to unusual alternating backward and forward laminar flows of water.
Ke Wang, Yi Chen, Martin Wegener
wiley   +1 more source

A Note on the Second Order of Accuracy Stable Difference Schemes for the Nonlocal Boundary Value Hyperbolic Problem

Abstract and Applied Analysis, 2012
The second order of accuracy absolutely stable difference schemes are presented for the nonlocal boundary value hyperbolic problem for the differential equations in a Hilbert space H with the self-adjoint positive definite operator A.
Allaberen Ashyralyev, Ozgur Yildirim
doaj   +1 more source

Extension method for a class of loaded differential equations with nonlocal integral boundary conditions

Қарағанды университетінің хабаршысы. Математика сериясы, 2019
In this paper we investigate a class of loaded ordinary differential equations with nonlocal integral boundary conditions in terms of an abstruse operator equation Bu = A 2 u - q Ψ( u ) = f, f ∈ Y, (1) D ( B ) = { u ∈ D ( A 2) : Φ( u ) = NF ( Au ) , Φ ...
I.N. Parasidis
doaj   +1 more source

Existence and uniqueness of measure solutions for a system of continuity equations with non-local flow [PDF]

, 2013
In this paper, we prove existence and uniqueness of measure solutions for the Cauchy problem associated to the (vectorial) continuity equation with a non-local ow.
Crippa, Gianluca, Lecureux-Mercier, Magali   +1 more
core   +1 more source

Machine Learning Interatomic Potentials for Energy Materials: Architectures, Training Strategies, and Applications

Advanced Energy Materials, EarlyView.
Machine learning interatomic potentials bridge quantum accuracy and computational efficiency for materials discovery. Architectures from Gaussian process regression to equivariant graph neural networks, training strategies including active learning and foundation models, and applications in solid‐state electrolytes, batteries, electrocatalysts ...
In Kee Park, Saeed Pourasad, Jinhong Mun, Arunkumar Chitteth Rajan, Tae Hyeon Park, Anand Rohit, Mohammad Zafari, Tan‐Lien Pham, Eunjae Jung, Bonseung Koo, Miran Ha, Gi Beom Sim, Hyun Gyu Park, Won Woong Choi, Kwanghyeon Jo, Soohaeng Yoo Willow, David ChangMo Yang, Chang Woo Myung, Geunsik Lee, Kwang S. Kim   +19 more
wiley   +1 more source

Vibration Characteristics of Magnetostrictive Composite Cantilever Resonator with Nonlocal Effect

Sensors
Taking the nonlocal effect into account, the vibration governing differential equation and boundary conditions of a magnetostrictive composite cantilever resonator were established based on the Euler magnetoelastic beam theory. The frequency equation and
Yan Xu, Xinchun Shang, Ke Xu
doaj   +1 more source

Exact solutions for the static bending of Euler-Bernoulli beams using Eringen’s two-phase local/nonlocal model

AIP Advances, 2016
Though widely used in modelling nano- and micro- structures, Eringen’s differential model shows some inconsistencies and recent study has demonstrated its differences between the integral model, which then implies the necessity of using the latter model.
Y. B. Wang, X. W. Zhu, H. H. Dai
doaj   +1 more source

ON ROOT FUNCTIONS OF NONLOCAL DIFFERENTIAL SECOND-ORDER OPERATOR WITH BOUNDARY CONDITIONS OF PERIODIC TYPE

Вестник КазНУ. Серия математика, механика, информатика, 2021
In this paper we consider one class of spectral problems for a nonlocal ordinary differential operator (with involution in the main part) with nonlocal boundary conditions of periodic type.
G. Dildabek, M. B. Ivanova, M. A. Sadybekov   +2 more
doaj   +1 more source