Results 91 to 100 of about 3,915 (243)
Existence of solutions for an n-dimensional operator equation and applications to BVPs
Electronic Journal of Differential Equations, 2014 By applying the Guo-Lakshmikantham fixed point theorem on high dimensional cones, sufficient conditions are given to guarantee the existence of positive solutions of a system of equations of the form $$ x_i(t)=\sum_{k=1}^n\sum_{j=1}^n\gamma_{ij}(t ...
George L. Karakostas
doaj
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 +4 more
wiley +1 more source
Modified Nonlocal Strain Gradient Elasticity for Nano-Rods and Application to Carbon Nanotubes
Applied Sciences, 2019 Nowadays, the modified nonlocal strain gradient theory provides a mathematically well-posed and technically reliable methodology to assess scale effects in inflected nano-structures.
Raffaele Barretta +2 more
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Effects of topological boundary conditions on Bell nonlocality
Physical Review ABell nonlocality is the resource that enables device-independent quantum information processing tasks. It is revealed through the violation of so-called Bell inequalities, indicating that the observed correlations cannot be reproduced by any local hidden variable model.
Emonts, Patrick +3 more
openaire +3 more sources
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 +10 more
wiley +1 more source
On Nonlinear Parabolic Equations with Nonlocal Boundary Condition
Journal of Mathematical Analysis and Applications, 1994 Let \(\emptyset \neq \Omega \subset \mathbb{R}^ n\) be a bounded domain with \(C^ 2\)-boundary and \(T > 0\). Of concern is the semilinear second order initial-boundary value problem \[ \begin{alignedat}{2} \partial_ tu(t,x) - A(t)u(t,x) & = f \bigl( t,x,u(t,x) \bigr), &\qquad (t,x) &\in (0,T) \times \Omega, \\ u(t,x) & = \int_ \Omega \Phi (x,y) u(t,y)
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Nonlocal operators with local boundary conditions in higher dimensions
Advances in Computational Mathematics, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Burak Aksoylu +2 more
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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
Minimal Nonnegative Solution of Nonlinear Impulsive Differential Equations on Infinite Interval
Boundary Value Problems, 2011 The cone theory and monotone iterative technique are used to investigate the minimal nonnegative solution of nonlocal boundary value problems for second-order nonlinear impulsive differential equations on an infinite interval with an infinite number of ...
Feng Meiqiang +2 more
doaj +2 more sources
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 +5 more
wiley +1 more source