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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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ON A PROBLEM WITH NONLOCAL BOUNDARY CONDITION FOR A PARABOLIC EQUATION

Mathematics of the USSR-Sbornik, 1993
The following initial-boundary value problem is considered in a rectangle \(Q_ T=\{(t,x ...
Muravej, L. A., Filinovskij, A. V.
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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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A Problem for a Pseudohyperbolic Equation with Nonlocal Boundary Condition

Journal of Mathematical Sciences, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Fractional Differential Inclusions with Nonlocal Boundary Conditions

Fractional Calculus and Applied Analysis, 2019
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Castaing, Charles   +3 more
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ELLIPTIC PROBLEMS WITH NONLOCAL CONDITIONS NEAR THE BOUNDARY

Mathematics of the USSR-Sbornik, 1987
Let \(\Omega \subset R^ 2\) be a bounded domain with boundary \(\partial \Omega =(\cup^{N}_{i=1}\Gamma_ i)\cup K\) where \(\Gamma_ i\) is smooth, K is finite, and in a neigbourhood of points of K \(\partial \Omega\) is angular. Let \(\omega_{is}: \gamma_ i\to \Omega\) be nonsingular smooth maps where \(\gamma_ i\) is a neighbourhood of \(\Gamma_ i ...
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Problem with nonlocal condition on the free boundary

Ukrainian Mathematical Journal, 2012
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Takhirov, Zh. O., Turaev, R. N.
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Electrical Conductivity Reconstruction Using Nonlocal Boundary Conditions

SIAM Journal on Applied Mathematics, 1999
Summary: We study existence, uniqueness, and solution estimates to the mixed problem \(\nabla\cdot\sigma\nabla u=0\) with Dirichlet to Neumann map boundary conditions and Neumann boundary conditions. We then show how this can be used in the reconstruction of \(\sigma\), given the relationship between u and its normal derivative on the boundary portion ...
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Differential operators with nonlocal boundary conditions

Differential Equations, 2000
Inverse problems of spectral analysis are studied for boundary value problems generated by the Sturm-Liouville differential operator \[ \ell y:=y''+q(x)y, \quad ...
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Differential equations with nonlocal boundary conditions

Nonlinear Analysis: Theory, Methods & Applications, 2001
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