Results 21 to 30 of about 91,889 (335)
Variational Theory and Domain Decomposition for Nonlocal Problems [PDF]
, 2011 In this article we present the first results on domain decomposition methods for nonlocal operators. We present a nonlocal variational formulation for these operators and establish the well-posedness of associated boundary value problems, proving a ...
Aksoylu, Burak, Parks, Michael L.
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Subcritical nonlocal problems with mixed boundary conditions
Bulletin of Mathematical Sciences, 2023 By using linking and [Formula: see text]-theorems in this paper we prove the existence of multiple solutions for the following nonlocal problem with mixed Dirichlet–Neumann boundary data, [Formula: see text] where [Formula: see text], [Formula: see text], is the spectral fractional Laplacian operator, [Formula: see text], [Formula: see text], is a ...
Bisci, GM, Ortega, A, Vilasi, L
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Ritz Method Application to Bending, Buckling and Vibration Analyses of Timoshenko Beams via Nonlocal Elasticity [PDF]
Journal of Applied and Computational Mechanics, 2018 Bending, buckling and vibration behaviors of nonlocal Timoshenko beams are investigated in this research using a variational approach. At first, the governing equations of the nonlocal Timoshenko beams are obtained, and then the weak form of these ...
Seyyed Amir Mahdi Ghannadpour
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Vietnam Journal of Mechanics, 2023 This paper analyses free vibrations of framed nanostructures made of Functionally Graded Material (FGM) based on the Nonlocal Elastic Theory (NET) and the Dynamic Stiffness Method (DSM).
Duong The Hung +3 more
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Diffusion with nonlocal boundary conditions
Journal of Functional Analysis, 2016 We consider second order differential operators $A_ $ on a bounded, Dirichlet regular set $ \subset \mathbb{R}^d$, subject to the nonlocal boundary conditions \[ u(z) = \int_ u(x)\, (z, dx)\quad \mbox{for } z \in \partial . \] Here the function $ : \partial \to \mathscr{M}^+( )$ is $ (\mathscr{M} ( ), C_b( ))$-continuous with $0\leq (z,
Wolfgang Arendt +2 more
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Interface conditions for a metamaterial with strong spatial dispersion [PDF]
, 2017 Local constitutive relations, i.e. a weak spatial dispersion, are usually considered in the effective description of metamaterials. However, they are often insufficient and effects due to a nonlocality, i.e.
Khrabustovskyi, Andrii +4 more
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Nonlocal Lagrangians for Accelerated Systems [PDF]
, 2007 Acceleration-induced nonlocality and the corresponding Lorentz-invariant nonlocal field equations of accelerated systems in Minkowski spacetime are discussed.
Abraham +12 more
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Nonlocal incoherent solitons [PDF]
, 2004 We investigate the propagation of partially coherent beams in spatially nonlocal nonlinear media with a logarithmic type of nonlinearity. We derive analytical formulas for the evolution of the beam parameters and conditions for the formation of nonlocal ...
Bang, Ole +2 more
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Sturm–Liouville problem with two point nonlocal second type boundary condition
Lietuvos Matematikos Rinkinys, 2005 The Sturm–Liouville problemwith one classical boundary condition and other two point second type nonlocal boundary conditions is considered in this paper. Three cases of nonlocal conditions are investigated.
Sigita Pečiulytė, Artūras Štikonas
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Nullity of the second order discrete problem with nonlocal multipoint boundary conditions
Lietuvos Matematikos Rinkinys, 2015 In this paper, we investigate several second order discrete problems with non-local multipoint boundary conditions and present obtained results about their nullity.
Gailė Paukštaitė, Artūras Štikonas
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