Results 291 to 300 of about 780,879 (337)

Boundary Conditions for Multidimensional Integrable Equations

Functional Analysis and Its Applications, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Khabibullin, I. T., Gudkova, E. V.
openaire   +2 more sources

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.
openaire   +1 more source

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 ...
openaire   +2 more sources

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   +3 more
openaire   +1 more source

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.
openaire   +1 more source

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.
openaire   +2 more sources

Home - About - Disclaimer - Privacy