Results 191 to 200 of about 12,177,110 (235)

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

Third Order Boundary Value Problems With Nonlocal Boundary Conditions

Nonlinear Analysis: Theory, Methods & Applications, 2009
We treat the existence of multiple positive solutions for a third order boundary value problem with nonlocal boundary conditions. In our work, each of the three boundary conditions is a linear functional on C[0,1], that is, given by a Stieltjes integral,
John R. Graef, J R L Webb
exaly   +2 more sources

Uniqueness of Solutions of Linear Nonlocal Boundary Value Problems

Applied Mathematics Letters, 2008
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Johnny Henderson
exaly   +3 more sources

On a Boundary Value Problem for a Nonlocal Elliptic Equation

Journal of Applied Analysis, 2003
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Fijałkowski, P., Przeradzki, B.
openaire   +1 more source

A Nonlocal Finite-Difference Boundary-Value Problem

Computational Mathematics and Modeling, 2003
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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

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.
openaire   +1 more source

Solvability of a Nonlocal Boundary Value Problem

Differential Equations, 2001
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A nonlocal boundary-value problem for the gellerstedt equation

Mathematical Notes, 2000
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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