Results 61 to 70 of about 51,763 (295)
Exact analytical approach for free longitudinal vibration of nanorods based on nonlocal elasticity theory from wave standpoint [PDF]
Journal of Theoretical and Applied Vibration and Acoustics, 2017 In this paper, free longitudinal vibration of nanorods is investigated from the wave viewpoint. The Eringen’s nonlocal elasticity theory is used for nanorods modelling.
Mohammad Reza Hairi Yazdi +2 more
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Nonlocal Mixed Systems With Neumann Boundary Conditions
Mathematical Methods in the Applied SciencesABSTRACTWe prove well posedness and stability in for a class of mixed hyperbolic–parabolic nonlinear and nonlocal equations in a bounded domain with no flow along the boundary. While the treatment of boundary conditions for the hyperbolic equation is standard, the extension to of classical results about parabolic equations with Neumann conditions ...
Rinaldo M. Colombo +2 more
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Domain decomposition with nonlocal interface boundary conditions
Journal of Computational and Applied Mathematics, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Utyuzhnikov, Sergey, Li, Hongru
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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
wiley +1 more source
Asymptotic analysis of Sturm-Liouville problem with Robin and two-point boundary conditions
Lietuvos Matematikos Rinkinys, 2022 We analyze the initial value problem and get asymptotic expansions for solution. We investigate the characteristic equation for Sturm-Liouville problem with one classical Robin type boundary condition and another two-point nonlocal boundary condition ...
Artūras Štikonas
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Existence of three solutions for a first-order problem with nonlinear non-local boundary conditions [PDF]
, 2012 Conditions for the existence of at least three positive solutions to the nonlinear first-order problem with a nonlinear nonlocal boundary condition given by && y'(t) - p(t)y(t) = \sum_{i=1}^m f_i\big(t,y(t)\big), \quad t\in[0,1], && \lambda y(0) = y ...
Anderson, Douglas R.
core +2 more sources
, 2013 We consider the evolution of the temperature $u$ in a material with thermal memory characterized by a time-dependent convolution kernel $h$. The material occupies a bounded region $\Omega$ with a feedback device controlling the external temperature ...
Cavaterra, Cecilia, Guidetti, Davide
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Reaction Diffusion Equations with Nonlocal Boundary and Nonlocal Initial Conditions
Journal of Mathematical Analysis and Applications, 1995 The author considers the existence, multiplicity, and asymptotic behavior of solutions for a reaction diffusion equation under nonlocal boundary and nonlocal initial conditions. The main results are the theorems about the existence of multiple solutions for both the time-dependent and the steady-state problems, and that each of the time-dependent ...
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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
wiley +1 more source
Nonlinear Analysis, 2006 The Sturm-Liouville problem with various types of two-point boundary conditions is considered in this paper. In the first part of the paper, we investigate the Sturm-Liouville problem in three cases of nonlocal two-point boundary conditions.
S. Pečiulytė, A. Štikonas
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