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A nonlocal problem with integral conditions

Mathematical Notes, 1996
For the equation \(u_{xy} +A(x,y)u_x +B(x,y)u_y +C(x,y)u =f(x,y)\) in the domain \(D=\{(x,y ...
Golubeva, N. D., Pul'kina, L. S.
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On a Nonlocal BVP with Nonlinear Boundary Conditions

Results in Mathematics, 2012
The author considers the existence of a positive solution to a boundary value problem where one of the boundary conditions is allowed to be nonlocal and nonlinear, namely \[ \begin{gathered} u''(t)+f(t,u(t))=0,\;t \in (0,1),\\ u(0) =H_{1}(\varphi (u))+\int_E H_{2}(s,u(s))\,ds,\;u(1) =0.\\ \end{gathered} \] Here, \(E\) is a measurable subset of \((0,1)\)
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The Eigenvalues of Some Problems with a Nonlocal Condition

Differential Equations, 2002
The author focuses attention to the case in which the system of eigenvectors of a finite difference operator with nonlocal conditions is complete.The results are used in the solution of a system of a finite difference equations by an iterative method with a Chebyshev set of iterative parameters. No numerical experiments are performed.
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Gellerstedt Problem with a Nonlocal Parity Boundary Condition

Lobachevskii Journal of Mathematics, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Controllability of impulsive differential systems with nonlocal conditions

Applied Mathematics and Computation, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shaochun Ji, Gang Li, Min Wang
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A parabolic equation with nonlocal conditions

Journal of Mathematical Sciences, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Controllability of Semilinear Evolution Equations with Nonlocal Conditions

Acta Mathematicae Applicatae Sinica, English Series, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Meili, Wang, Miansen, Fu, Xianlong
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On a Nonlocal Condition for Existence of Cycles of Hysteresis Systems

Automation and Remote Control, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Krasnosel'skij, A. M., Rachinskij, D. I.
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Evolution Problems with Nonlinear Nonlocal Boundary Conditions

Journal of Dynamics and Differential Equations, 2013
The authors consider a nonlinear evolution problem with nonlinear nonlocal boundary conditions. They concentrate on existence results obtained by applying the degree theory for function triples with a Fredholm function developed in [the third author, Topological analysis. From the basics to the triple degree for nonlinear Fredholm inclusions.
BENEDETTI, Irene   +2 more
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Exact controllability for nonlocal wave equations with nonlocal boundary conditions

Annales Polonici Mathematici
Summary: We are interested in the controllability of nonlocal wave equations subject to nonlocal dynamical boundary conditions, where the nonlocality stems from integral terms on the bulk and on the boundary of the domain considered. First, we establish, in two geometric settings satisfying the geometric control condition (GCC), the internal ...
Benabbas, Imen, Teniou, Djamel Eddine
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