Modified Crank-Nicolson Difference Schemes for Nonlocal Boundary Value Problem for the Schrödinger Equation [PDF]
Discrete Dynamics in Nature and Society, 2009 The nonlocal boundary value problem for Schrödinger equation in a Hilbert space is considered. The second-order of accuracy 𝑟-modified Crank-Nicolson difference schemes for the approximate solutions of this nonlocal boundary value problem are presented ...
Allaberen Ashyralyev, Ali Sirma
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Nonlocal boundary value problems for the Schrödinger equation [PDF]
Computers & Mathematics with Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Allaberen Ashyralyev, Ali Sirma
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Radial solutions for a nonlocal boundary value problem [PDF]
Boundary Value Problems, 2006 We consider the boundary value problem for the nonlinear Poisson equation with a nonlocal term −Δu=f(u,∫Ug(u)), u|∂U=0. We prove the existence of a positive radial solution when f grows linearly in u, using Krasnoselskiiés fixed ...
Luís Sanchez +1 more
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Positivity of Green's matrix of nonlocal boundary value problems [PDF]
Mathematica Bohemica, 2014 Summary: We propose an approach for studying the positivity of Green's operators of a nonlocal boundary value problem for the system of \(n\) linear functional differential equations with the boundary conditions \(n_{i}x_{i}-\sum \nolimits_{j=1}^{n}m_{ij}x_{j}=\beta_{i}\), \(i=1,\dots ,n\), where \(n_{i}\) and \(m_{ij}\) are linear bounded ``local ...
Domoshnitsky, Alexander
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Asymptotic distribution of eigenvalues and eigenfunctions of a nonlocal boundary value problem [PDF]
Mathematical Modelling and Analysis, 2021 In this work, we obtain asymptotic formulas for eigenvalues and eigenfunctions of the second order boundary-value problem with a Bitsadze–Samarskii type nonlocal boundary condition.
Erdoğan Şen, Artūras Štikonas
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On well-posedness of the nonlocal boundary value problem for parabolic difference equations [PDF]
Discrete Dynamics in Nature and Society, 2004 We consider the nonlocal boundary value problem for difference equations (uk−uk−1)/τ+Auk=φk, 1≤k≤N, Nτ=1, and u0=u[λ/τ]+φ ...
A. Ashyralyev +2 more
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Nonlocal boundary value problem for second order abstract elliptic differential equation [PDF]
Abstract and Applied Analysis, 1999 We establish conditions that guarantee Fredholm solvability in the Banach space Lp of nonlocal boundary value problems for elliptic abstract differential equations of the second order in an interval.
Mohamed Denche
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Nonlocal elliptic boundary value problems [PDF]
Bulletin of the American Mathematical Society, 1964 An m-point nonlocal boundary value problem is posed for quasi- linear differential equations of first order on the plane. Nonlocal boundary value problems are investigated using the algorithm of reducing nonlocal boundary value problems to a sequence of ...
David Devadze, Devadze, David
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Gradient method in Sobolev spaces for nonlocal boundary-value problems [PDF]
Electronic Journal of Differential Equations, 2000 An infinite-dimensional gradient method is proposed for the numerical solution of nonlocal quasilinear boundary-value problems. The iteration is executed for the boundary-value problem itself (i.e.
J. Karatson
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A Two-Dimensional Nonlocal Fractional Parabolic Initial Boundary Value Problem [PDF]
AxiomsIn this paper, we investigate a two-dimensional singular fractional-order parabolic partial differential equation in the Caputo sense. The partial differential equation is supplemented with Dirichlet and weighted integral boundary conditions.
Said Mesloub +2 more
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