Positive solutions of a boundary value problem with integral boundary conditions [PDF]
, 2011 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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Investigation of a discrete Sturm–Liouville problem with two-point nonlocal boundary condition and natural approximation of a derivative in boundary condition [PDF]
Mathematical Modelling and AnalysisThe article investigates a discrete Sturm–Liouville problem with one natural boundary condition and another nonlocal two-point boundary condition. We analyze zeroes, poles and critical points of the characteristic function and how the properties of this
Kristina Bingelė, Artūras Štikonas
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Roles of Weight Functions to a Nonlocal Porous Medium Equation with Inner Absorption and Nonlocal Boundary Condition [PDF]
Abstract and Applied Analysis, 2012 This work is concerned with an initial boundary value problem for a nonlocal porous medium equation with inner absorption and weighted nonlocal boundary condition.
Zhong Bo Fang +2 more
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A Quasilinear Parabolic System with Nonlocal Boundary Condition
Boundary Value Problems, 2011 We investigate the blow-up properties of the positive solutions to a quasilinear parabolic system with nonlocal boundary condition. We first give the criteria for finite time blowup or global existence, which shows the important influence of nonlocal ...
Botao Chen, Yongsheng Mi, Chunlai Mu
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Experiments on Nonlocal Fluid-Flow Metamaterials. [PDF]
Adv Sci (Weinh)A nonlocal fluid‐flow metamaterial composed of standard microfluidic tubes and connectors is designed. Hence, the current of the system at one position depends on the gradient of fluid flow at many other positions, leading to unusual alternating backward and forward laminar flows of water.
Wang K, Chen Y, Wegener M.
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On the nonlocal Cahn–Hilliard equation with nonlocal dynamic boundary condition and boundary penalization [PDF]
, 2021 The Cahn-Hilliard equation is one of the most common models to describe phase segregation processes in binary mixtures. Various dynamic boundary conditions have already been introduced in the literature to model interactions of the materials with the ...
Knopf, Patrik, Signori, Andrea
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Application of Rothe's method to a parabolic inverse problem with nonlocal boundary condition [PDF]
, 2022 summary:We consider an inverse problem for the determination of a purely time-dependent source in a semilinear parabolic equation with a nonlocal boundary condition. An approximation scheme for the solution together with the well-posedness of the problem
Ri, Myong-Hwan, Jo, Yong-Hyok
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Fast computation of the nonlocal boundary condition in finite difference parabolic equation radiowave propagation simulations [PDF]
, 2008 Finite difference parabolic equation method (FD-PEM) codes using a nonlocal boundary condition to model radiowave propagation over electrically large domains, require the computation of time consuming spatial convolution integrals. For the first time, we
Mias, Christos
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International Journal of Antennas and Propagation, 2017 Diffraction nonlocal boundary condition (BC) is one kind of the transparent boundary condition which is used in the finite-difference (FD) parabolic equation (PE).
Ruidong Wang +3 more
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Investigation of the spectrum for Sturm–Liouville problems with a nonlocal boundary condition
Lietuvos Matematikos Rinkinys, 2013 In this paper, we analyze the Sturm–Liouville problem with one classical first type boundary condition and the other Samarskii–Bitsadze type nonlocal boundary condition.
Kristina Skučaitė-Bingelė +1 more
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