Results 161 to 170 of about 1,617 (206)

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.
Burak Aksoylu, Tadele Mengesha
exaly   +3 more sources

A Nonlocal Vector Calculus with Application to Nonlocal Boundary Value Problems

Multiscale Modeling and 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 Gunzburger, R B Lehoucq
exaly   +2 more sources

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.
exaly   +2 more sources

On a Boundary Value Problem for a Nonlocal Elliptic Equation

Journal of Applied Analysis, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fijałkowski, P., Przeradzki, B.
openaire   +1 more source

A Nonlocal Finite-Difference Boundary-Value Problem

Computational Mathematics and Modeling, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gulin, A. V., Morozova, V. A.
openaire   +1 more source

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.
openaire   +1 more source

Solvability of a Nonlocal Boundary Value Problem

Differential Equations, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

A nonlocal boundary-value problem for the gellerstedt equation

Mathematical Notes, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Remarks on nonlocal boundary value problems at resonance

Applied Mathematics and Computation, 2010
The author considers the nonlocal boundary value problems \[ -u''(t)=f(t, u(t), u'(t)),\quad u(0)=0,\;u(1)=\int^1_0 tdA(t), \] and \[ -(p(t)u')'(t)=f(t, u(t),\;u'(t)),\quad u'(0)=0,\;u(1)=\int^1_0 tdB(t). \] He shows that it is important to allow the nonlinear term \(f\) to change sign when discussing the existence of positive solutions by providing ...
openaire   +2 more sources