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Nonlocal parabolic boundary-value problem [PDF]

Ukrainian Mathematical Journal, 1996
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Матійчук, М.І.
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On a Boundary Value Problem for a Nonlocal Elliptic Equation

Journal of Applied Analysis, 2003
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Fijałkowski, P., Przeradzki, B.
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A Nonlocal Finite-Difference Boundary-Value Problem

Computational Mathematics and Modeling, 2003
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Gulin, A. V., Morozova, V. A.
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Nonlocal Parabolic Boundary-Value Problems with Singularities

Journal of Mathematical Sciences, 2015
The paper deals with the first boundary value problem and a unilateral boundary value problem with a nonlocal condition with respect to the time variable for a linear differential equation with power singularities of arbitrary order in the coordinate planes. The problems are considered in Hölder spaces with power weight.
Pukal's'kyĭ, I. D., Isaryuk, I. M.
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A note on the Bitsadze–Samarskii type nonlocal boundary value problem in a Banach space [PDF]

Journal of Mathematical Analysis and Applications, 2008
The Bitsadze–Samarskii type nonlocal boundary value problem−u″(t)+Au(t)=f(t)(0⩽t⩽1),u(0)=φ,u(1)=u(λ)+ψ,0 ...
Allaberen Ashyralyev
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A note on a nonlocal boundary value problems

Applied Mathematics and Computation, 2004
The author gives an existence result concerning a nonlocal boundary value problem for a second-order ordinary differential equation. The proof is based on the coincidence degree theory. An example illustrating the result is given.
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A Nonlocal Vector Calculus with Application to Nonlocal Boundary Value Problems

Multiscale Modeling & Simulation, 2010
We develop a calculus for nonlocal operators that mimics Gauss's theorem and Green's identities of the classical vector calculus. The operators we define do not involve derivatives. We then apply the nonlocal calculus to define weak formulations of nonlocal “boundary-value” problems that mimic the Dirichlet and Neumann problems for second-order scalar ...
Max D. Gunzburger, Richard B. Lehoucq
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On a nonlocal boundary value problem for the multidimensional heat equation in a noncylindrical domain [PDF]

Siberian Mathematical Journal, 2013
We study a nonlocal initial-boundary value problem for the space-multidimensional heat equation in a noncylindrical domain.
T Sh Kal'Menov, Kal'Menov T Sh
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Solvability of a Nonlocal Boundary Value Problem

Differential Equations, 2001
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Results on Nonlocal Boundary Value Problems

Numerical Functional Analysis and Optimization, 2010
In this article, we provide a variational theory for nonlocal problems where nonlocality arises due to the interaction in a given horizon. With this theory, we prove well-posedness results for the weak formulation of nonlocal boundary value problems with Dirichlet, Neumann, and mixed boundary conditions for a class of kernel functions.
Aksoylu, Burak, Mengesha, Tadele
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