Results 221 to 230 of about 45,852 (266)

Boundary Conditions for Multidimensional Integrable Equations

Functional Analysis and Its Applications, 2004
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Khabibullin, I. T., Gudkova, E. V.
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On a boundary value problem with integral boundary conditions

Differential Equations, 2015
We study the existence of positive solutions of second-order ordinary differential equations with integral boundary conditions. The result generalizes the conditions obtained in [1] for the existence of positive solutions.
A. Ya. Lepin, L. A. Lepin
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Boundary conditions for integrable lattices

Functional Analysis and Its Applications, 1997
The boundary condition \(w_0= F(x,w_1,\dots, w_m)\) reduces the chain \(w_{j,x}= h(x,w_{j-1} w_j, w_{j+1})\) to a problem on the half-line. In the paper a finite-dimensional system is considered with two boundary conditions \[ w_0= F(x, w_1,\dots, w_m),\;w_{N+1}= G(X, w_{N- m},\dots, w_N).
Adler, V. E., Habibullin, I. T.
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Integrable Boundary Conditions of the Modified Volterra Model

Journal of the Physical Society of Japan, 1997
Summary: New boundary conditions of the so-called ``modified Volterra model'', which is described by a set of the nonlinear differential-difference equations, are presented. In accordance with the methods developed by Sklyanin, these conditions are shown to be integrable, including the simply truncated open-end case.
Kajinaga, Yasumasa, Wadati, Miki
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Boundary Conditions from Path Integrals

Physical Review Letters, 1988
A particle moving in two dimensions in a repulsive ${r}^{\ensuremath{-}2}$ potential, and in the presence of a magnetic flux line, is examined as an example of a system for which the Schr\"odinger Hamiltonian is not essentially self-adjoint. The path-integral propagator is, nevertheless, shown to exist, and to define a unique self-adjoint extension of ...
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Boundary conditions in an integral approach to scattering

Journal of the Optical Society of America A, 2006
Scattering of electromagnetic radiation by an object of arbitrary shape or a structured surface, infinite in extent, is considered. When radiation is incident on an interface separating vacuum from a material medium, a current density is induced in the bulk and a surface current density may appear on the boundary surface.
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