Results 21 to 30 of about 60,539 (234)
Global well-posedness for a nonlocal Gross-Pitaevskii equation with non-zero condition at infinity [PDF]
, 2010 We study the Gross-Pitaevskii equation involving a nonlocal interaction potential. Our aim is to give sufficient conditions that cover a variety of nonlocal interactions such that the associated Cauchy problem is globally well-posed with non-zero ...
André de Laire +15 more
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A nonlocal sinusoidal plate model for micro/nanoscale plates [PDF]
, 2014 A nonlocal sinusoidal plate model for micro/nanoscale plates is developed based on Eringen’s nonlocal elasticity theory and sinusoidal shear deformation plate theory.
Lee, Jaehong +3 more
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NEUMANN BOUNDARY CONDITION FOR A NONLOCAL BIHARMONIC EQUATION
Bulletin of the South Ural State University series "Mathematics. Mechanics. Physics", 2022 The solvability conditions for a class of boundary value problems for a nonlocal biharmonic equation in the unit ball with the Neumann conditions on the boundary are studied. The nonlocality of the equation is generated by some orthogonal matrix. The presence and uniqueness of a solution to the proposed Neumann boundary condition is examined, and an ...
B.Kh. Turmetov, V.V. Karachik
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Stationary problems with various nonlocal boundary conditions
Lietuvos Matematikos Rinkinys, 2003 In this paper we investigate one-dimensional stationary differential problems with various nonlocal boundary conditions and finite difference schemes for them.
Artūras Štikonas +2 more
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On positive eigenfunctions of Sturm‐Liouville problem with nonlocal two‐point boundary condition
Mathematical Modelling and Analysis, 2007 Positive eigenvalues and corresponding eigenfunctions of the linear Sturm‐Liouville problem with one classical boundary condition and another nonlocal two‐point boundary condition are considered in this paper.
Sigita Pečiulytė, Artūras Štikonas
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Free vibrations of nonlocally elastic rods [PDF]
, 2019 Several of the Eringen’s nonlocal stress models, including two-phase and purely nonlocal integral models, along with the simplified differential model, are studied in case of free longitudinal vibrations of a nanorod, for various types of boundary ...
Avdeichik, E +2 more
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A Quasilinear Parabolic System with Nonlocal Boundary Condition [PDF]
Boundary Value Problems, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Botao Chen, Yongsheng Mi, Chunlai Mu
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Diffractive Effects and General Boundary Conditions in Casimir Energy [PDF]
, 2013 The effect of edges and apertures on the Casimir energy of an arrangement of plates and boundaries can be calculated in terms of an effective nonlocal lower-dimensional field theory that lives on the boundary.
Karabali, Dimitra, Nair, V. P.
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Lietuvos Matematikos Rinkinys, 2012 In this paper, generalized Green’s functions for second-order discrete boundaryvalue problems with nonlocal boundary conditions are investigated, where the necessary and sufficient existence condition of discrete Green’s function is not satisfied and ...
Gailė Paukštaitė, Artūras Štikonas
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Recovering Dirac operator with nonlocal boundary conditions
Journal of Mathematical Analysis and Applications, 2016 11 ...
Yang, Chuan-Fu, Yurko, Vjacheslav
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