Results 21 to 30 of about 60,560 (308)
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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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,
Arendt, Wolfgang +2 more
openaire +3 more sources
Stationary problems with various nonlocal boundary conditions
Lietuvos Matematikos Rinkinys, 2003 In this paper we investigate one-dimensional stationary differential problems with various nonlocal boundary conditions and finite difference schemes for them.
Artūras Štikonas +2 more
doaj +3 more sources
On positive eigenfunctions of Sturm‐Liouville problem with nonlocal two‐point boundary condition
Mathematical Modelling and Analysis, 2007 Positive eigenvalues and corresponding eigenfunctions of the linear Sturm‐Liouville problem with one classical boundary condition and another nonlocal two‐point boundary condition are considered in this paper.
Sigita Pečiulytė, Artūras Štikonas
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Free vibrations of nonlocally elastic rods [PDF]
, 2019 Several of the Eringen’s nonlocal stress models, including two-phase and purely nonlocal integral models, along with the simplified differential model, are studied in case of free longitudinal vibrations of a nanorod, for various types of boundary ...
Avdeichik, E +2 more
core +2 more sources
On a Problem of Cross-Diffusion with Nonlocal Boundary Conditions [PDF]
Journal of Siberian Federal University. Mathematics & Physics, 2019 Condition of global existence of solution of a non-linear system of cross-diffusion with non-linear boundary conditions is studied in the paper.
Rakhmonov, Zafar R., Urunbayev, Jasur E.
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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.
core +5 more sources
On Nonlinear Coupled System with Nonlocal Boundary Conditions
Boletim da Sociedade Paranaense de Matemática, 2003 Summary: We discuss the existence, uniqueness and stability exponential and polynomial of global solutions for a nonlinear coupled system with nonlocal boundary conditions given by \[ \begin{aligned} u_{tt}+\Delta^2u+f(u-v) & =0\text{ in }\Omega\times (0,\infty),\\ v_{tt}-\Delta v-f(u-v)& =0\text{ in }\Omega\times(0,\infty),\\ u=0 \text{ on }\Gamma_0 ...
U. R. Soares, C. A. Raposo, M. L. Santos
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Constructing solutions for a kinetic model of angiogenesis in annular domains [PDF]
, 2016 We prove existence and stability of solutions for a model of angiogenesis set in an annular region. Branching, anastomosis and extension of blood vessel tips are described by an integrodifferential kinetic equation of Fokker-Planck type supplemented with
Carpio, Ana +2 more
core +3 more sources
Lietuvos Matematikos Rinkinys, 2012 In this paper, generalized Green’s functions for second-order discrete boundaryvalue problems with nonlocal boundary conditions are investigated, where the necessary and sufficient existence condition of discrete Green’s function is not satisfied and ...
Gailė Paukštaitė, Artūras Štikonas
doaj +1 more source