Results 61 to 70 of about 4,589 (305)

Spectral properties of non-local uniformly-elliptic operators [PDF]

, 2006
In this paper we consider the spectral properties of a class of non-local uniformly elliptic operators, which arise from the study of non-local uniformly elliptic partial differential equations. Such equations arise naturally in the study of a variety of
Niall Dodds, Fordyce A. Davidson, Davidson, Fordyce A.; id_orcid, Dodds, Niall   +3 more
core  

Nonlocal Metaspire: A Scalable Elastic Material Platform With Decoupled Mechanical Modes

Advanced Materials, EarlyView.
Nonlocal Metaspire introduces sequential rotation to realize wider scalability in implementing complex nonlocal couplings in elastic metamaterials while suppressing unintended mode coupling. Numerical results clarify the underlying wave motions, demonstrate mode‐decoupled roton and maxon formation, and support a straightforward extension to higher ...
Seung Han Kim, Myung Hwan Bae, Ye Jeong Shin, Joo Hwan Oh   +3 more
wiley   +1 more source

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 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

To the solution of integro-differential equations with nonlocal conditions

TURKISH JOURNAL OF MATHEMATICS, 2021
Summary: We investigate linear integro-differential equations with ordinary derivatives. The kernels of the integrands depend only on the variable of integration, and the conditions involve the terms with the point and integral values of the unknown function.
Aida-Zade, Kamil R., Abdullayev, Vagif M.   +1 more
openaire   +1 more source

A Survey of Interlayer Interaction Models for Graphene and Other 2D Materials

Advanced Materials Interfaces, EarlyView.
Van der Waals interactions arising from electronic polarization at atomically close interfaces generate corrugated interlayer energy landscapes that govern normal and tangential tractions. This review presents an overview of quantum, atomistic, analytical, and continuum modeling approaches, highlighting their roles across length scales in capturing ...
Gourav Yadav, Shakti S. Gupta, Roger A. Sauer   +2 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

A Nonlinear Fractional Problem with Mixed Volterra-Fredholm Integro-Differential Equation: Existence, Uniqueness, H-U-R Stability, and Regularity of Solutions

Journal of Function Spaces, 2020
This paper considers nonlinear fractional mixed Volterra-Fredholm integro-differential equation with a nonlocal initial condition. We propose a fixed-point approach to investigate the existence, uniqueness, and Hyers-Ulam-Rassias stability of solutions ...
Somia Khaldi, Rachid Mecheraoui, Aiman Mukheimer   +2 more
doaj   +1 more source

Data‐Efficient Electromagnetic Surrogate Solver Through Dissipative Relaxation Transfer Learning

Advanced Optical Materials, EarlyView.
Dissipative relaxation transfer learning (DIRTL) enables data‐efficient training of electromagnetic surrogate solvers by pretraining data generated with artificial material loss before fine‐tuning on target lossless data. The framework suppresses resonant outlier effects during early training, allowing effective adaptation to high‐amplitude resonances ...
Sunghyun Nam, Chan Y. Park, Min Seok Jang   +2 more
wiley   +1 more source