Results 61 to 70 of about 3,735 (290)

Nonlocal Parabolic Integro-differential Equations with Delays

International Journal of Applied Mathematical Research, 2012
In this paper we consider a parabolic integro-differential equation with delay and a nonlocal boundary condition. We apply the method of semidiscretization in time, also known as the method of lines, to establish the existence and uniqueness of the considered problem.
Reeta Shukla, Rakesh Kumar, kamlendra kumar   +2 more
openaire   +3 more sources

From Carbon Nitrides to COFs: Opportunities and Prospects in Photocatalytic CO2 Reduction

Advanced Materials, EarlyView.
To underscore the potential of polymeric photocatalysts for CO2 photoreduction—from carbon nitrides to covalent organic frameworks—the table of contents graphic presents recent breakthroughs in the design of light‐responsive organic photocatalysts.
Wei Che, Songlin Zhao, Woo Jin Byun, Tao Tao, Jong‐Pil Jeon, Qiannan Zhao, Yanhua Shao, Jian Li, Jeongwon Kim, Jae Sung Lee, Jong‐Beom Baek   +10 more
wiley   +1 more source

On some linear two-point inverse problem for a multidimensional heat conduction equation with semi-nonlocal boundary conditions

Қарағанды университетінің хабаршысы. Математика сериясы
It is known that V.A. Ilyin and E.I. Moiseev studied generalized nonlocal boundary value problems for the Sturm-Liouville equation, the nonlocal boundary conditions specified at the interior points of the interval under consideration. For such problems,
С.З. Джамалов, Ш.Ш. Худойкулов   +1 more
doaj   +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

Step Function in Momentum Space by a Metagrating

Advanced Optical Materials, EarlyView.
This work demonstrates how the symmetry of the angular transmittance could be broken by a metagrating where the diffraction channels alleviate the requirement for enforcing absorbance. The metagrating retroreflects incident waves with positive incidence angles and transmits waves with negative incidence angles.
Mahmoud A. A. Abouelatta, Sergejs Boroviks, Olivier J. F. Martin, Karim Achouri   +3 more
wiley   +1 more source

On Global Solutions of Two-Dimensional Hyperbolic Equations with General-Kind Nonlocal Potentials

Mathematics
In the case of one spatial independent variable, we study hyperbolic differential-difference equations with potentials represented as linear combinations of translations of the desired function along the spatial variable.
Andrey B. Muravnik
doaj   +1 more source

Directionally Asymmetric Holographic Imaging for Arbitrary Polarization States Using Janus Metasurfaces

Advanced Optical Materials, EarlyView.
We demonstrate single‐layer titanium dioxide Janus metasurface holograms that achieve directionally asymmetric imaging under forward and backward illumination. By integrating the Dammann grating principle with precise phase control, our design produces high‐fidelity holographic images for arbitrary polarization states at 532 nm, simplifying fabrication,
Yu‐Chuan Chang, Chang‐Yi Lin, Huan‐Teng Su, Yun‐Chien Wu, Chih‐Yao Hsu, Shu‐Ming Chang, Yao‐Wei Huang   +6 more
wiley   +1 more source

Existence and Uniqueness of Mild Solutions to Impulsive Nonlocal Cauchy Problems

Journal of Mathematics, 2020
In this paper, a class of nonlocal impulsive differential equation with conformable fractional derivative is studied. By utilizing the theory of operators semigroup and fractional derivative, a new concept on a solution for our problem is introduced.
Mohamed Hannabou, Khalid Hilal, Ahmed Kajouni   +2 more
doaj   +1 more source

Illuminating Quantum Phenomena in 2D Materials: The Power of Optical Spectroscopy

Advanced Optical Materials, EarlyView.
Atomically thin 2D materials host quantum tunnelling, plasmonic and excitonic phenomena driven by reduced dimensionality and strong many‐body interactions. This review links these effects to state‐of‐the‐art optical probes—NSOM, pump–probe, CARS, TRR, and optical frequency comb spectroscopy—highlighting how their ultrahigh spatial–temporal resolution ...
Yuhui Zhou, Jiaru Zhang, Guanghui Ren, Bao Yue Zhang, Jian Zhen Ou   +4 more
wiley   +1 more source

On Stability of a Third Order of Accuracy Difference Scheme for Hyperbolic Nonlocal BVP with Self-Adjoint Operator

Abstract and Applied Analysis, 2013
A third order of accuracy absolutely stable difference schemes is presented for nonlocal boundary value hyperbolic problem of the differential equations in a Hilbert space H with self-adjoint positive definite operator A. Stability estimates for solution
Allaberen Ashyralyev, Ozgur Yildirim
doaj   +1 more source