Results 11 to 20 of about 8,772,119 (248)
Positive solutions of a boundary value problem with integral boundary conditions [PDF]
Electronic Journal of Differential Equations, 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 $mu^*, lambda ...
Jeff R. L. Webb
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Nonlocal Mixed Systems With Neumann Boundary Conditions [PDF]
Mathematical Methods in the Applied SciencesABSTRACTWe prove well posedness and stability in for a class of mixed hyperbolic–parabolic nonlinear and nonlocal equations in a bounded domain with no flow along the boundary. While the treatment of boundary conditions for the hyperbolic equation is standard, the extension to of classical results about parabolic equations with Neumann conditions ...
Rinaldo M. Colombo +2 more
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Stationary problems with nonlocal boundary conditions
Mathematical Modelling and Analysis, 2001 In this article a stationary problems with general nonlocal boundary conditions is considered. The differential problems and finite difference schemes for solving this problem are investigated.
R. Čiegis +3 more
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Nonlocal Boundary-Value Problems with Local Boundary Conditions
, 2023 We describe and analyze nonlocal integro-differential equations with classical local boundary conditions. The interaction kernel of the nonlocal operator has horizon parameter dependent on position in the domain, and vanishes as the boundary of the domain is approached.
Scott, James M., Du, Qiang
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Nonlocal effect on boundary conditions of cantilever nanobeam
AIP Conference Proceedings, 2020 Free vibration of cantilever nanobeam has been investigated with the help of Eringen's Nonlocal Elasticity Theory. Nonlocal effect on boundary conditions have been taken into account. Variational energy formulation of nanobeam has been carried out for obtaining the nonlocal governing equation of motion and boundary conditions.
Arda, Mustafa, Aydogdu, Metin
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Second order systems with nonlinear nonlocal boundary conditions [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2018 This paper is concerned with the second order differential equation with not necessarily linear nonlocal boundary condition. The existence of solutions is obtained using the properties of the Leray–Schauder degree. The results generalize and improve some
Jean Mawhin +2 more
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Boundary-value problem with nonlocal Steklov conditions for 4th order partial differential equation
Вестник Самарского университета: Естественнонаучная серияIn this paper, we consider a nonlocal initial-boundary problem. A distinguishing feature of this problem is the form of nonlocal boundary conditions which are known in scientific literature as Steklov conditions. A large proportion of papers dealing with
L. S. Pulkina
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Strictly convergent algorithm for an elliptic equation with nonlocal and nonlinear boundary conditions [PDF]
Mathematical Modelling and Analysis, 2012 The paper describes a formally strictly convergent algorithm for solving a class of elliptic problems with nonlinear and nonlocal boundary conditions, which arise in modeling of the steady-state conductive-radiative heat transfer processes.
Karlis Birgelis, Uldis Raitums
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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]
Journal of Differential Equations, 2021 The Cahn--Hilliard equation is one of the most common models to describe phase segregation processes in binary mixtures. In recent times, various dynamic boundary conditions have been introduced to model interactions of the materials with the boundary more precisely.
Knopf P., Signori A.
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