Results 101 to 110 of about 3,915 (243)

A Geometric Interpretation for the Algebraic Properties of Second‐Order Ordinary Differential Equations

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6912-6917, April 2025.
ABSTRACT Nowadays, a substantial portion of investigations concerning the symmetry analysis of differential equations predominantly adhere to a framework comprising the following key procedures: (i) the derivation of symmetries, (ii) the determination of an optimal system, (iii) the utilization of these symmetries to construct invariants or ...
A. Paliathanasis, S. Moyo, P. G. L. Leach   +2 more
wiley   +1 more source

On the method of pseudopotential for Schrödingerequation with nonlocal boundary conditions [PDF]

Abstract and Applied Analysis, 2001
For stationary Schrödinger equation in ℝ n with the finite potential the singular pseudopotential is constructed in the form allowing us to find wave functions. The method does not require the knowledge of the explicit form of a potential and assumes only knowledge of the scattering amplitude for fixed level of energy.
openaire   +3 more sources

Solvability and Boundedness in Chemotaxis‐Consumption Models With Oppositely Acting Nonlocal Sources

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we investigate a chemotaxis system featuring a class of external source terms that incorporate both local and nonlocal growth as well as dampening effects. The model describes the evolution of a cell density u$$ u $$, which migrates in response to a chemical signal v$$ v $$, within an impermeable habitat.
Rafael Díaz Fuentes, Fatma Gamze Düzgün, Silvia Frassu, Giuseppe Viglialoro   +3 more
wiley   +1 more source

Sturm-Liouville Problem for Stationary Differential Operator with Nonlocal Two-Point Boundary Conditions

Nonlinear Analysis, 2006
The Sturm-Liouville problem with various types of two-point boundary conditions is considered in this paper. In the first part of the paper, we investigate the Sturm-Liouville problem in three cases of nonlocal two-point boundary conditions.
S. Pečiulytė, A. Štikonas
doaj   +1 more source

From Biological Fractal Dynamics to Analog Fractional‐Order Circuits: A System Design Framework Based on Operatorization Thought

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT Fractional calculus, with its unique advantage in describing memory and nonlocal effects, has become a key tool for modeling nonlinear dynamic systems. Its integration with circuit systems has opened up a new paradigm for modern circuit design.
Zhimo Jian, Zheng Li, Gang Peng, Chaoqian Luo, Yajun Yin   +4 more
wiley   +1 more source

Modulation of turbulence and mesoscale structure in nested large‐eddy simulations with a gray‐zone parent domain

Quarterly Journal of the Royal Meteorological Society, EarlyView.
The cell perturbation (CP) method mitigate mesoscale structural perturbations entering large‐eddy simulations (LES) from gray‐zone parent domains. The turbulent kinetic energy (TKE) bias‐filtering effect of CP increases with nesting ratio and is most pronounced under weakly convective conditions.
Jung‐Hee Ryu, Song‐Lak Kang
wiley   +1 more source

PROBLEM WITH NONLOCAL BOUNDARY CONDITION FOR A HYPERBOLIC EQUATION

Vestnik of Samara University. Natural Science Series, 2017
In this paper we consider an initial-boundary problem with nonlocal boundary condition for one-dimensional hyperbolic equation. Nonlocal condition is dynamic so as represents a relation between values of derivatives with respect of spacial variables of a required solution, first-order derivatives with respect to time variable and an integral of a ...
openaire   +3 more sources

Individualization and Purification of Carbon Nanothreads

Small, EarlyView.
Reductive dissolution enables the solution processing of carbon nitride nanothreads into individualized nanothreads that can be assembled into ultrathin films. The resulting interconnected networks exhibit weakly semiconducting behavior, with the conductivity decreasing by only ∼40% from room temperature to 2 K.
George Bepete, Sikai Wu, Bohan Xu, Ámbar E. Escobar Colón, Andres Fest, Da Zhou, Yu Lei, Methembe Moyo, Zhuohang Yu, George Chimowa, Kazunori Fujisawa, Nestor Perea‐Lopez, Vincent H. Crespi, Mauricio Terrones   +13 more
wiley   +1 more source

Unveiling Van Der Waals Forces and Associated Hamaker Constants Across the Nanomaterial Landscape With Advanced Atomic Force Microscopy

Small Methods, EarlyView.
Van der Waals interactions are reviewed through the lens of advanced atomic force microscopy, highlighting recent progress in nanoscale quantification of Hamaker constants. Emerging methodologies enable high‐resolution mapping of intermolecular forces in 2D materials and biological systems, bridging experimental measurements with quantum‐informed ...
Amir Farokh Payam, Horacio V. Guzman, Alexandre Tkatchenko   +2 more
wiley   +1 more source

Attention‐Based Spatial–Temporal Model for the Entire Indoor Space Temperature Estimation

IEEJ Transactions on Electrical and Electronic Engineering, EarlyView.
This study proposes a novel attention‐based spatial–temporal model for indoor temperature estimation, which integrates positional encoding and an attention mechanism with a fully connected neural network. By jointly capturing temporal dynamics and spatial correlations, the model enables high‐resolution estimation of temperature fields across the entire
Goro Terumichi, Jiarui Li, Tatsuji Kimura, Hiroaki Nishi   +3 more
wiley   +1 more source