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Response of nonlocal thermoelastic nanobeams supported by Pasternak foundations to the effect of generalized fractional theory with three-phase lags. [PDF]
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Stabilization of nonlocal solitons by boundary conditions
Optics Letters, 2014We discovered that boundary conditions can stabilize nonlocal solitons with an oscillatory periodic response function. These solitons are the equivalent of quadratic solitons consisting of fundamental waves and oscillatory second harmonics, which are unstable unless subject to boundary confinement.
Jing, Wang, Yiheng, Li, Qi, Guo, Wei, Hu
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Appropriate Boundary Conditions for Nonlocal Elastic Beams
Advanced Materials Research, 2013This 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 ...
Xu, S. P., Xu, M. R., Wang, C. M.
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Gellerstedt Problem with a Nonlocal Parity Boundary Condition
Lobachevskii Journal of Mathematics, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Evolution Problems with Nonlinear Nonlocal Boundary Conditions
Journal of Dynamics and Differential Equations, 2013The 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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On a Nonlocal BVP with Nonlinear Boundary Conditions
Results in Mathematics, 2012The 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, 1993The following initial-boundary value problem is considered in a rectangle \(Q_ T=\{(t,x ...
Muravej, L. A., Filinovskij, A. V.
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On Fractional Differential Inclusions with Nonlocal Boundary Conditions
Fractional Calculus and Applied Analysis, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Castaing, Charles +3 more
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A Problem for a Pseudohyperbolic Equation with Nonlocal Boundary Condition
Journal of Mathematical Sciences, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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