Results 131 to 140 of about 14,966 (286)

Symbolic Algorithm for Solving Nonlocal Boundary Value Problems for Systems of Ordinary Integrodifferential Equations

Algorithms
Boundary value problems for systems of integrodifferential equations appear in many branches of science and engineering. Accuracy in modeling complex processes requires the specification of nonlocal boundary conditions, including multipoint and integral ...
Efthimios Providas, Ioannis N. Parasidis, Jeyhun E. Musayev   +2 more
doaj   +1 more source

Advances in Position‐Momentum Entanglement: A Versatile Tool for Quantum Technologies

Laser &Photonics Reviews, EarlyView.
Position–momentum entanglement constitutes a high‐dimensional continuous‐variable resource in quantum optics. Recent advances in its generation, characterization, and control are reviewed, with emphasis on spontaneous parametric down‐conversion and modern measurement techniques.
Satyajeet Patil, Rajshree Swarnkar, Jonas L. Moos, Sebastian Töpfer, Sergio Tovar‐Pérez, Jorge Fuenzalida, Markus Gräfe   +6 more
wiley   +1 more source

Quantization of Polaritons Confined in Dielectric Structures

Laser &Photonics Reviews, EarlyView.
This study addresses the limitations of the Hopfield model of strong light‐matter coupling in the case of structured dieletrics. A method to derive quantum models in the polariton basis using Bogoliubov transformation and third quantization is introduced, demonstrating how to boost interaction strength and engineer nonlocal interactions for strongly ...
Amir Rahmani, Dogyun Ko, Maciej Dems, Andrzej Opala, Michał Matuszewski   +4 more
wiley   +1 more source

Efficient and Tunable Narrowband Second‐Harmonic Generation by a Large‐Area Etchless Lithium Niobate Metasurface

Laser &Photonics Reviews, EarlyView.
An etchless lithium niobate (LN) metasurface with a slanted periodic TiO2 grating enables efficient and narrowband second‐harmonic generation (SHG) thanks to the light confinement in the LN film granted by quasi‐bound‐state‐in‐the‐continuum (q‐BIC) modes.
Yaping Hou, Yigong Luan, Yu Fan, Alfonso Nardi, Attilio Zilli, Bobo Du, Jinyou Shao, Marco Finazzi, Chunhui Wang, Lei Zhang, Michele Celebrano   +10 more
wiley   +1 more source

Nonlocal active sound control for composite regions

Mathematical Methods in the Applied Sciences, EarlyView.
In the active sound control problem, additional sound sources, known as control sources, are implemented at the perimeter of a protected domain. The control sources can generate secondary sound inside the shielded domain, which attenuates incoming noise. This leads to an inverse source problem.
Nan Hu, Sergey Utyuzhnikov
wiley   +1 more source

On the analyzing of bifurcation properties of the one‐dimensional Mackey–Glass model by using a generalized approach

Mathematical Methods in the Applied Sciences, EarlyView.
The goal of this work is to look at how a nonlinear model describes hematopoiesis and its complexities utilizing commonly used techniques with historical and material links. Based on time delay, the Mackey–Glass model is explored in two instances. To offer a range, the relevance of the parameter impacting stability (bifurcation) is recorded.
Shuai Zhang, Yaya Wang, Hongyin Geng, Wei Gao, Esin Ilhan, Haci Mehmet Baskonus   +5 more
wiley   +1 more source

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

T(w)o Patch or Not T(w)o Patch: A Novel Biocontrol Model

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT A number of top‐down biocontrol models have been proposed where the introduced predators' efficacy is enhanced via the provision of additional food (AF). However, if the predator has a pest‐dependent monotone functional response, pest extinction is unattainable. In the current manuscript, we propose a model where a predator with pest‐dependent
Urvashi Verma, Aniket Banerjee, Rana D. Parshad   +2 more
wiley   +1 more source

NPINN+: an enhanced physics-informed neural network for solving wave equations with nonlocal boundary conditions

Scientific Reports
Wave equations with nonlocal conditions appear in many scientific and engineering applications, such as, the population dynamics, the mathematical biology, and the materials science.
Qiancheng Tan, Shuyun Yang, Yonghui Qin
doaj   +1 more source

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