Results 11 to 20 of about 11,559,130 (198)

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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Nonlocal Boundary-Value Problems with Local Boundary Conditions

, 2023
We describe and analyze nonlocal integro-differential equations with classical local boundary conditions. The interaction kernel of the nonlocal operator has horizon parameter dependent on position in the domain, and vanishes as the boundary of the domain is approached.
Scott, James M., Du, Qiang
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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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Positive solutions of a boundary value problem with integral boundary conditions [PDF]

, 2011
We consider boundary-value problems studied in a recent paper. We show that some existing theory developed by Webb and Infante applies to this problem and we use the known theory to show how to find improved estimates on parameters μ*, λ so ...
Webb, J.
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Nonlocal parabolic boundary-value problem

Ukrainian Mathematical Journal, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Матійчук, М.І.
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Young measures in a nonlocal phase transition problem [PDF]

, 1997
A nonlocal variational problem modelling phase transitions is studied in the framework of Young measures. The existence of global minimisers among functions with internal layers on an infinite tube is proved by combining a weak convergence result ...
Winter, M, Ren, X
core   +7 more sources

Nonlocal boundary value problems [PDF]

Boundary Value Problems, 2012
In the last decades, nonlocal boundary value problems have become a rapidly growing area of research. The study of this type of problems is driven not only by a theoretical interest, but also by the fact that several phenomena in engineering, physics and life sciences can be modelled in this way. For example, problems with feedback controls such as the
Franco D, INFANTE, GENNARO, Minhos FM
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Finite-difference solutions of tenth-order boundary-value problems [PDF]

, 1994
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.In this thesis finite difference methods are used to obtain numerical solutions for a class of high-order ordinary differential equations with applications ...
Siddiqui, Aijaz Ahmad
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Weakly nonlocal boundary value problems with application to geology [PDF]

Differential Equations & Applications, 2021
In many cases, groundwater flow in an unconfined aquifer can be simplified to a one-dimensional Sturm-Liouville model of the form: \begin{equation*} x''(t)+λx(t)=h(t)+\varepsilon f(x(t)),\hspace{.1in}t\in(0,π) \end{equation*} subject to non-local boundary conditions \begin{equation*} x(0)=h_1+\varepsilonη_1(x)\text{ and } x(π)=h_2+\varepsilonη_2(x ...
Maroncelli, Daniel, Collins, Emma
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Solvability of Nonlocal Fractional Boundary Value Problems

Discrete Dynamics in Nature and Society, 2013
Summary: We introduce a new approach to investigate the existence of solutions for a three-point boundary value problem of fractional difference equations as fllows: \(\Delta^\nu y(t) = f(t + \nu - 1, y(t + \nu -1), \Delta y(t + \nu -2)), y(\nu -2) = 0\), and \([\Delta^\alpha y(t)]_{t = \nu + b - \alpha + 1} = \gamma[\Delta^\alpha y(t)]_{t = \nu + \xi -
Zhongmin Huang, Chengmin Hou
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