Results 101 to 110 of about 542,997 (336)
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
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Advanced Photonics Research, EarlyView.This review highlights recent advances in accelerating luminescence in nanostructures through cooperative emission, resonator coupling, and nonlocal light–matter interactions. By unifying concepts such as excitonic superradiance, superfluorescence, and the plasmonic Purcell effect, it reveals physical limits of ultrafast emission and their potential ...
Masaaki Ashida +3 more
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Breather solitons in highly nonlocal media
, 2016 We investigate the breathing of optical spatial solitons in highly nonlocal media. Generalizing the Ehrenfest theorem, we demonstrate that oscillations in beam width obey a fourth-order ordinary differential equation.
Alberucci, Alessandro +2 more
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The nonlocal problem for the differential-operator equation of the even order with the involution
, 2018 In this paper, the problem with boundary nonself-adjoint conditions for a differential-operator equations of the order $2n$ with involution is studied. Spectral properties of operator of the problem is investigated.
Y. Baranetskij +3 more
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Advanced Photonics Research, EarlyView.A graphene‐based bowtie plasmonic nanotweezer is designed and optimized using particle swarm optimization and transfer matrix analysis. The structure achieves strong field confinement, delivering trapping forces up to 6 nN W−1 for 10 nm bioparticles with sixfold lower power requirements than conventional designs.
Saba Ebrahimpanah +2 more
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Journal of Mathematical Analysis and Applications, 2005 After brief explanation of the basic definitions and notions connected with nonlocal symmetries of DEs the authors present a systematic method to derive the nonlocal symmetries for PDEs with two independent variables and show that KdV \(\frac{\partial u}{\partial t}=u\frac{\partial u}{\partial x}+\frac{\partial ^3 u}{\partial x^3}\) and Burgers \(\frac{
Sahadevan, R. +2 more
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On the Second Order of Accuracy Stable Implicit Difference Scheme for Elliptic-Parabolic Equations
Abstract and Applied Analysis, 2012 We are interested in studying a second order of accuracy implicit difference scheme for the solution of the elliptic-parabolic equation with the nonlocal boundary condition. Well-posedness of this difference scheme is established.
Allaberen Ashyralyev, Okan Gercek
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Deep learning schemes for parabolic nonlocal integro-differential equations
Partial Differential Equations and Applications, 2022 AbstractIn this paper we consider the numerical approximation of nonlocal integro differential parabolic equations via neural networks. These equations appear in many recent applications, including finance, biology and others, and have been recently studied in great generality starting from the work of Caffarelli and Silvestre by Lius and Lius (Comm ...
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Nonlocal Boundary Value Problems for (k,ψ)-Hilfer Fractional Differential Equations and Inclusions [PDF]
, 2022 Sotiris K. Ntouyas +2 more
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Advanced Science, EarlyView.This study unlocks the immense potential of COF@polymer nanocomposites as a multifunctional therapeutic platform for targeted drug delivery in diabetic cardiomyopathy. Abstract Diabetic cardiomyopathy, a major complication of diabetes, is strongly associated with elevated levels of glycated hemoglobin (HbA1c) and reactive oxygen species (ROS). However,
Jing Xue +13 more
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