Results 211 to 220 of about 51,657 (240)

On Fractional Differential Inclusions with Nonlocal Boundary Conditions

Fractional Calculus and Applied Analysis, 2019
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Castaing, Charles, Godet-Thobie, C., Phung, Phan, Truong, Le   +3 more
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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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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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Third order boundary value problems with nonlocal boundary conditions

Nonlinear Analysis: Theory, Methods & Applications, 2009
The authors consider third order boundary value problems for nonlinear ordinary differential equations with nonlocal linear boundary conditions given by Stieltjes integrals. Conditions for the existence of multiple positive solutions are studied. Fixed point considerations in cones and index theory are employed. Two illustrative examples are given.
Graef, John R., Webb, J. R. L.
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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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Appropriate Boundary Conditions for Nonlocal Elastic Beams

Advanced Materials Research, 2013
This study is concerned with the boundary conditions of elastic beams within the framework of nonlocal elasticity th eory. The general solutions of the plane stress problem are, firstly, discussed. Through which and by employing the decaying analysis technique proposed by Gregory and Wan, a set of necessary conditions on the edge-d ata, other than the ...
S.P. Xu, M.R. Xu, C.M. Wang
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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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Differential equations with nonlocal boundary conditions

Nonlinear Analysis: Theory, Methods & Applications, 2001
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Global existence of solutions of initial boundary value problem for nonlocal parabolic equation with nonlocal boundary condition

Mathematical Methods in the Applied Sciences, 2020
Alexander L Gladkov, Tatiana V. Kavitova
exaly  

Global existence and blow-up of solutions of nonlinear nonlocal parabolic equation with absorption under nonlinear nonlocal boundary condition

Monatshefte Fur Mathematik, 2023
Alexander L Gladkov
exaly