Results 1 to 10 of about 77,285 (214)
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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First order systems of odes with nonlinear nonlocal boundary conditions [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2015 In this article, we prove existence of solutions for a nonlocal boundary value problem with nonlinearity in a nonlocal condition. Our method is based upon Mawhin's coincidence theory.
Igor Kossowski, Bogdan Przeradzki
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Alternating direction method for two-dimensional parabolic equation with nonlocal integral condition
Nonlinear Analysis, 2012 Two-dimensional parabolic equation with nonlocal condition is solved by alternating direction method in the rectangular domain. Values of the solution on the boundary points are bind with the integral of the solution in whole two-dimensional domain ...
Mifodijus Sapagovas +1 more
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On some problems with nonlocal integral condition
Mathematical Modelling and Analysis, 2010 We study the second order nonlinear boundary value problems with non‐local integral conditions and construct the Fučík type spectrum for these problems.
Natalija Sergejeva
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Conditions for logical contextuality and nonlocality [PDF]
Physical Review A, 2021 To appear in Phys. Rev. A. Comments still welcome!
Leonardo Santos, Barbara Amaral
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The Airy equation with nonlocal conditions
Studies in Applied Mathematics, 2023 AbstractWe study a third‐order dispersive linear evolution equation on the finite interval subject to an initial condition and inhomogeneous boundary conditions but, in place of one of the three boundary conditions that would typically be imposed, we use a nonlocal condition, which specifies a weighted integral of the solution over the spatial interval.
B. Normatov, D. A. Smith
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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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Nonlocal problems with Neumann boundary conditions [PDF]
Revista Matemática Iberoamericana, 2017 We introduce a new Neumann problem for the fractional Laplacian arising from a simple probabilistic consideration, and we discuss the basic properties of this model. We can consider both elliptic and parabolic equations in any domain. In addition, we formulate problems with nonhomogeneous Neumann conditions, and also with mixed Dirichlet and Neumann ...
Serena Dipierro +2 more
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Alexandria Engineering Journal, 2022 In this paper, a new form of two-point nonlocal boundary conditions is presented. This condition generalizes a Dirichlet condition at one boundary and a mixed condition at the other one.
S.M. Helal, A. Elmekawy
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Diffusion with nonlocal Robin boundary conditions [PDF]
Journal of the Mathematical Society of Japan, 2018 Revision based on the comments of the referee; final ...
ARENDT, Wolfgang +2 more
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