Results 21 to 30 of about 484,592 (357)
Diffusion with nonlocal Robin boundary conditions [PDF]
Journal of the Mathematical Society of Japan, 2018 Revision based on the comments of the referee; final ...
ARENDT, Wolfgang +2 more
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Recovering Dirac operator with nonlocal boundary conditions
Journal of Mathematical Analysis and Applications, 2016 11 ...
Chuan‐Fu Yang, Vjacheslav Yurko
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Semi-Analytical Solution for Vibration of Nonlocal Piezoelectric Kirchhoff Plates Resting on Viscoelastic Foundation [PDF]
Journal of Applied and Computational Mechanics, 2018 Semi-analytical solutions for vibration analysis of nonlocal piezoelectric Kirchhoff plates resting on viscoelastic foundation with arbitrary boundary conditions are derived by developing Galerkin strip distributed transfer function method.
D.P. Zhang, Yongjun Lei, Z.B. Shen
doaj +1 more source
Mathematical Modelling and Analysis, 2020 The article investigates the Sturm–Liouville problem with one classical and another nonlocal two-point boundary condition. We analyze zeroes, poles and critical points of the characteristic function and how the properties of this function depend on ...
Kristina Bingelė +2 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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Recovering differential operators with nonlocal boundary conditions [PDF]
Analysis and Mathematical Physics, 2015 Inverse spectral problems for Sturm-Liouville operators with nonlocal boundary conditions are studied. As the main spectral characteristics we introduce the so-called Weyl-type function and two spectra, which are generalizations of the well-known Weyl function and Borg's inverse problem for the classical Sturm-Liouville operator.
Vjacheslav Yurko, Chuan-Fu Yang
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Fredholm Property of Nonlocal Problems for Integro-Differential Hyperbolic Systems [PDF]
, 2016 The paper concerns nonlocal time-periodic boundary value problems for first-order Volterra integro-differential hyperbolic systems with boundary inputs. The systems are subjected to integral boundary conditions.
Klyuchnyk, R., Kmit, I.
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A Quasilinear Parabolic System with Nonlocal Boundary Condition [PDF]
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 boundary. And then we establish the precise blow-up rate estimate.
Botao Chen +3 more
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Diffusion with nonlocal boundary conditions
Journal of Functional Analysis, 2016 We consider second order differential operators $A_ $ on a bounded, Dirichlet regular set $ \subset \mathbb{R}^d$, subject to the nonlocal boundary conditions \[ u(z) = \int_ u(x)\, (z, dx)\quad \mbox{for } z \in \partial . \] Here the function $ : \partial \to \mathscr{M}^+( )$ is $ (\mathscr{M} ( ), C_b( ))$-continuous with $0\leq (z,
Wolfgang Arendt +2 more
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Solitons in Nonlinear Media with an Infinite Range of Nonlocality: First Observation of Coherent Elliptic Solitons and of Vortex-Ring Solitons [PDF]
, 2005 We present an experimental study on wave propagation in highly nonlocal optically nonlinear media, for which far-away boundary conditions significantly affect the evolution of localized beams.
Carmon, Tal +4 more
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