Results 41 to 50 of about 2,525 (268)

On singular solutions of a multidimensional differential equation of Clairaut-type with power and exponential functions

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2019
In the theory of ordinary differential equations, the Clairaut equation is well known. This equation is a non-linear differential equation unresolved with respect to the derivative.
Liliya Leonidovna Ryskina
doaj   +1 more source

Mathematical Study of the Nonlinear Singular Integral Magnetic Field Equation. II

SIAM Journal on Numerical Analysis, 1980
We extend the results of Part I [SIAM J. Appl. Math., 39 (1980), pp. 14–20] on the spectrum of the singular integral operator \[ (A{\bf M})(x) = - \frac{1}{{4\pi }}{\operatorname{grad}}{\operatorname{div}}\int_\Omega {\frac{{{\bf M}(y)}}{r}dy.} \] As an application we obtain an estimate of the lower bound of the spectrum of the magnetic field operator $
openaire   +5 more sources

Spectrally Tunable 2D Material‐Based Infrared Photodetectors for Intelligent Optoelectronics

Advanced Functional Materials, EarlyView.
Intelligent optoelectronics through spectral engineering of 2D material‐based infrared photodetectors. Abstract The evolution of intelligent optoelectronic systems is driven by artificial intelligence (AI). However, their practical realization hinges on the ability to dynamically capture and process optical signals across a broad infrared (IR) spectrum.
Junheon Ha, Yingshan Ma, Yong Nam An, Sung‐Un An, Hyeon Hak Jung, Suvi‐Tuuli Varjamo, Jiwon Yoo, Junho Min, Hanvit Kim, Faisal Ahmed, Sang Hoon Chae, Young Min Song, Weiwei Cai, Tawfique Hasan, Zhipei Sun, Dong‐Ho Kang, Hyeon‐Jin Shin, Yunyun Dai, Hoon Hahn Yoon   +18 more
wiley   +1 more source

On the approximate solution of nonlinear singular integral equations with positive index

International Journal of Mathematics and Mathematical Sciences, 1996
This paper is devoted to investigating a class of nonlinear singular integral equations with a positive index on a simple closed smooth Jordan curve by the collocation method.
S. M. Amer
doaj   +1 more source

Positive solutions of singular Hadamard-type fractional differential equations with infinite-point boundary conditions or integral boundary conditions

Advances in Difference Equations, 2019
We establish the existence of positive solutions to a class of a singular nonlinear Hadamard-type fractional differential equations with infinite-point boundary conditions (BCs) or integral BCs.
A. M. A. El-Sayed, F. M. Gaafar
doaj   +1 more source

High-Order Multivariate Spectral Algorithms for High-Dimensional Nonlinear Weakly Singular Integral Equations with Delay

Mathematics, 2022
One of the open problems in the numerical analysis of solutions to high-dimensional nonlinear integral equations with memory kernel and proportional delay is how to preserve the high-order accuracy for nonsmooth solutions.
Ahmed Z. Amin, Mahmoud A. Zaky, Ahmed S. Hendy, Ishak Hashim, Ahmed Aldraiweesh   +4 more
doaj   +1 more source

Smarter Sensors Through Machine Learning: Historical Insights and Emerging Trends across Sensor Technologies

Advanced Functional Materials, EarlyView.
This review highlights how machine learning (ML) algorithms are employed to enhance sensor performance, focusing on gas and physical sensors such as haptic and strain devices. By addressing current bottlenecks and enabling simultaneous improvement of multiple metrics, these approaches pave the way toward next‐generation, real‐world sensor applications.
Kichul Lee, Osman Gul, Yeongjae Kwon, Jaeseok Jeong, Seokjoo Cho, Jihyeon Ahn, Jehee Yu, Cheolmin Kim, Donho Lee, Hyeonseok Han, Byeongju Lee, Jungrak Choi, Ji‐Hwan Ha, Yongrok Jeong, Kyungnam Kang, Ali Javey, Junseong Ahn, Inkyu Park   +17 more
wiley   +1 more source

Quasilinearization-Collocation Method for the Numerical Solution of Nonlinear Fractional Volterra Integro-Differential Equations With Logarithmic Weakly Singular Kernel

International Journal of Mathematics and Mathematical Sciences
In this paper, we use quasilinearization technique, product integration rule, and collocation method to present a new numerical method to solve nonlinear fractional Volterra integro-differential equations with logarithmic weakly singular kernel.
Qays Atshan Almusawi, Esmaeil Najafi
doaj   +1 more source

A Novel Collocation Method for Numerical Solution of Hypersingular Integral Equation with Singular Right-Hand Function

Advances in Mathematical Physics, 2023
In this study, the Fredholm hypersingular integral equation of the first kind with a singular right-hand function on the interval −1,1 is solved. The discontinuous solution on the domain −1,1 is approximated by a piecewise polynomial, and a collocation ...
M. R. Elahi, Y. Mahmoudi, A. Salimi Shamloo, M. Jahangiri Rad   +3 more
doaj   +1 more source

Viscoelasticity‐Induced Controllable Periodic Meso‐Textures of Liquid Crystal Polymers in Additive Manufacturing

Advanced Functional Materials, EarlyView.
Viscoelasticity‐driven instabilities are harnessed to create tunable, periodic textures in 3D‐printed liquid crystalline polymers. This study illustrates how processing parameters control these spontaneous meso‐scale patterns. These unique structural architectures unlock new possibilities for functional devices, ranging from photonic components to ...
Miaomiao Zou, Jiongyi Yan, Dick F. Firdaus, Amy Jin, Jiaxuan Li, Shushan Wang, Ran Chen, Xudong Tao, Zehao Ji, Yi Liu, Zichen Wang, Christos Margadji, Mark Kotter, J. Axel Zeitler, George G. Malliaras, Ronan Daly, Andrew Gleadall, Sebastian W. Pattinson   +17 more
wiley   +1 more source