Results 11 to 20 of about 77,285 (214)
Mathematical Modelling and Analysis, 2023 In this study, we obtain asymptotic expansions for eigenvalues and eigenfunctions of the one–dimensional Sturm–Liouville equation with one classical Dirichlet type boundary condition and two-point nonlocal boundary condition.
Artūras Štikonas, Erdoğan Şen
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Mathematics, 2021 It is well known that Stochastic equations had many useful applications in describing numerous events and problems of real world, and the nonlocal integral condition is important in physics, finance and engineering.
Ahmed M. A. El-Sayed, Hoda A. Fouad
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Formulation, analysis and computation of an optimization-based local-to-nonlocal coupling method
Results in Applied Mathematics, 2021 We present an optimization-based coupling method for local and nonlocal continuum models. Our approach couches the coupling of the models into a control problem where the states are the solutions of the nonlocal and local equations, the objective is to ...
Marta D’Elia, Pavel Bochev
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Variational Theory and Domain Decomposition for Nonlocal Problems [PDF]
, 2011 In this article we present the first results on domain decomposition methods for nonlocal operators. We present a nonlocal variational formulation for these operators and establish the well-posedness of associated boundary value problems, proving a ...
Aksoylu, Burak, Parks, Michael L.
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A third‐order nonlocal problem with nonlocal conditions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2004 We study an equation with dominated lower‐order terms and nonlocal conditions. Using the Riesz representation theorem and the Schauder fixed‐point theorem, we prove the existence and uniqueness of a generalized solution.
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Nonlocal Operational Calculi for Dunkl Operators [PDF]
, 2009 The one-dimensional Dunkl operator $D_k$ with a non-negative parameter $k$, is considered under an arbitrary nonlocal boundary value condition. The right inverse operator of $D_k$, satisfying this condition is studied.
Dimovski, Ivan H., Hristov, Valentin Z.
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Characteristics of off-waist incident anomalous vortex beams in highly nonlocal media
Results in Physics, 2017 In this paper, we focus on the effect of the off-waist incident condition on the propagation characteristics of anomalous vortex beams (AVBs) in nonlocal media. An expression is derived mathematically in order to describe the propagation dynamics of AVBs
Zhen-Feng Yang
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AIMS Mathematics, 2022 The existence of solutions for a Sturm-Liouville boundary value problem of a nonlinear differential inclusion with nonlocal integral condition is studied. The maximal and minimal solutions will be studied.
Ahmed M.A. El-Sayed +2 more
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Is a nonlocal diffusion strategy convenient for biological populations in competition? [PDF]
, 2015 We study the convenience of a nonlocal dispersal strategy in a reaction-diffusion system with a fractional Laplacian operator. We show that there are circumstances - namely, a precise condition on the distribution of the resource - under which a nonlocal
Massaccesi, Annalisa, Valdinoci, Enrico
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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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