Results 61 to 70 of about 59,795 (219)
A PARABOLIC SYSTEM WITH NONLOCAL BOUNDARY CONDITIONS AND NONLOCAL SOURCES
Communications of the Korean Mathematical Society, 2012 In this work, the authors study the blow-up properties of so- lutions to a parabolic system with nonlocal boundary conditions and non- local sources. Conditions for the existence of global or blow-up solutions are given. Global blow-up property and precise blow-up rate estimates are also obtained. v(x;t) = R k2(x;y)v(y;t)dy; x2 @; t >0; u(x;0) = u0(x);
Yuzhu Han, Wenjie Gao
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Mathematical Modelling and Analysis, 2014 In this paper the one- and two-dimensional pseudoparabolic equations with nonlocal boundary conditions are approximated by the Euler finite difference scheme.
Raimondas Čiegis, Natalija Tumanova
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Transparent-Influx Boundary Conditions for FEM Based Modelling of 2D Helmholtz Problems in Optics [PDF]
, 2004 A numerical method for the analysis of the 2D Helmholtz equation is presented, which incorporates Transparent-Influx Boundary Conditions into a variational formulation of the Helmholtz problem.
Groesen, E. van +2 more
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Positive powers of the Laplacian in the half-space under Dirichlet boundary conditions
, 2018 We present explicit formulas for solutions to nonhomogeneous boundary value problems involving any positive power of the Laplacian in the half-space. For non-integer powers the operator becomes nonlocal and this requires a suitable extension of Dirichlet-
Abatangelo, Nicola +4 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2011 This paper studies a nonlinear fractional differential equation of an arbitrary order with four-point nonlocal integral boundary conditions. Some existence results are obtained by applying standard fixed point theorems and Leray-Schauder degree theory ...
Bashir Ahmad, Sotiris Ntouyas
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Nonlocal effect on boundary conditions of cantilever nanobeam
AIP Conference Proceedings, 2020 Free vibration of cantilever nanobeam has been investigated with the help of Eringen's Nonlocal Elasticity Theory. Nonlocal effect on boundary conditions have been taken into account. Variational energy formulation of nanobeam has been carried out for obtaining the nonlocal governing equation of motion and boundary conditions.
Arda, Mustafa, Aydogdu, Metin
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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
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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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Global existence for a nonlocal model for adhesive contact
, 2017 In this paper we address the analytical investigation of a model for adhesive contact, which includes nonlocal sources of damage on the contact surface, such as the elongation.
Bonetti, Elena +2 more
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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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