Results 11 to 20 of about 12,177,110 (235)
Nonlocal boundary value problems [PDF]
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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Nonlocal elliptic boundary value problems [PDF]
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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Positive solutions of a boundary value problem with integral boundary conditions [PDF]
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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Asymptotic distribution of eigenvalues and eigenfunctions of a nonlocal boundary value problem [PDF]
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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Nonlocal Boundary-Value Problems with Local Boundary Conditions
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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On nonlinear spectra for some nonlocal boundary value problems [PDF]
We consider a second order nonlinear differential equation with nonlocal (integral) condition. The spectrum of it differs essentially from the known ones.
Natalija Sergejeva
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Weakly nonlocal boundary value problems with application to geology [PDF]
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
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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We study the boundary-value problem for a linear system of differential equations written in the form of differential-operator equations $$ aD_t u(t)+bBu(t)=f(t) $$ with nonlocal boundary conditions at $t$.
Dmitriy V Kornienko
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On the numerical solution of a nonlocal boundary value problem
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Themistoclakis W, Vecchio A
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