Results 161 to 170 of about 539,609 (355)

Metasurfaces in Adaptive Optics: A New Opportunity in Optical Wavefront Sensing

open access: yesLaser &Photonics Reviews, EarlyView.
Wavefront sensing constitutes a critical component of adaptive optics systems, aimed at quantitatively measuring distorted wavefronts and enabling closed‐loop correction in optical setups. Metasurfaces, as planar optical elements composed of nanoscale structures, provide exceptional freedom in modulating multiple dimensions of the light field.
Rundong Fan   +3 more
wiley   +1 more source

Nonlocal active sound control for composite regions

open access: yesMathematical 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

Numerical solution for nonlocal Sobolev-type differential equations

open access: yesElectronic Journal of Differential Equations, 2010
We present a numerical approximate solution to Sobolev-type differential equation subject to nonlocal initial boundary conditions. A Laplace transform method is described for the solution of considered equation.
Shruti A. Dubey
doaj  

Nonlocal problems in partial differential equations.

open access: yes, 2013
Tesis doctoral inédita, leída en Universidad Autónoma de Madrid, Facultad de Ciencias, Departamento de Matemáticas.
openaire   +1 more source

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

open access: yesMathematical 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   +5 more
wiley   +1 more source

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

open access: yesMathematical 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   +2 more
wiley   +1 more source

Existence of solutions for an abstract second-order differential equation with nonlocal conditions

open access: yesElectronic Journal of Differential Equations, 2009
We discuss the existence of mild solutions for abstract second-order differential equation with nonlocal conditions. Also we consider some application of our results.
Eduardo Hernandez M.
doaj  

Cazenave‐Dickstein‐Weissler‐Type Extension of Fujita'S Problem on Heisenberg Groups

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper investigates the Fujita critical exponent for a heat equation with nonlinear memory posed on the Heisenberg groups. A sharp threshold is identified such that, for exponent values less than or equal to this critical value, no global solution exists, regardless of the choice of nonnegative initial data. Conversely, for exponent values
Mokhtar Kirane   +3 more
wiley   +1 more source

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