Results 251 to 260 of about 783,161 (291)

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 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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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 for integrable chains

Physics Letters A, 1995
Abstract The quasi-periodicity and deeper reductions and boundary conditions compatible with the integrability property are discussed for the Volterra, the nonlinear Schrodinger and Toda lattices.
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Boundary conditions for integrable equations

Functional Analysis and Its Applications, 1987
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fractional boundary value problems with integral boundary conditions

Applicable Analysis, 2013
In this article, we study a type of nonlinear fractional boundary value problem with integral boundary conditions. By constructing an associated Green's function, applying spectral theory and using fixed point theory on cones, we obtain criteria for the existence, multiplicity and nonexistence of positive solutions.
John R. Graef, Lingju Kong, Qingkai Kong, Min Wang   +3 more
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Integral Boundary Conditions

1994
We first consider an expository linear example: with conditions given as: γ, β 1,, and β 2 are assumed constants here although they can be functions of x with minor modifications to the procedure given. In decomposition format we have Lu + Ru = 0 or L−1Lu = I:−L−1 Ru or where is a two-fold pure integration with respect to x.
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Boundary conditions for integrable discrete chains

Journal of Physics A: Mathematical and General, 2001
It is known since the works of Birkhoff that (simple) recurrences (finite difference equations) of one integer index define a larger class of functions than the analogous ordinary differential equations (ODEs). Birkhoff has shown that the sequence of transformations from an integer index to a rational, and a fortiori to a continuous one is generally ...
Habibullin, I. T., Kazakova, T. G.
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