Results 231 to 240 of about 45,852 (266)

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
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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 Value Problems With Integral Conditions

AIP Conference Proceedings, 2011
The weakly perturbed nonlinear boundary value problems (BVP) for almost linear systems of ordinary differential equations (ODE) are considered. We assume that the nonlinear part contain an additional function, which defines the perturbation as singular. Then the Poincare method is not applicable. The problem of existence, uniqueness and construction of
L. I. Karandzhulov, N. D. Sirakova, George Venkov, Ralitza Kovacheva, Vesela Pasheva   +4 more
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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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Integration points for the reduction of boundary conditions

Theoretica Chimica Acta, 1973
An analysis of a method for the numerical evaluation of the integral \(\int\limits_a^b { f\left( x \right)} dx\) is presented. The method introduces a change of variable, x = x(q), with the property that dnx/dqnis zero at x = a, x = b for n = 0, 1, 2,... N, where N is an integer to be chosen.
N. C. Handy, S. F. Boys
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Boundary conditions of Feynman path integrals

Nuclear Physics, 1966
Abstract Feynman path integral expressions for transition matrix elements between bare vacua are derived for scalar and spinor fields. Proper boundary conditions are used to avoid the usual somewhat artificial iϵ prescriptions of previous authors.
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Boundary conditions for integrable quantum systems

Journal of Physics A: Mathematical and General, 1988
A new class of boundary conditions is described for quantum systems integrable by means of the quantum inverse scattering (R-matrix) method. The method proposed allows the author to treat open quantum chains with appropriate boundary terms in the Hamiltonian.
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The Goursat problem with integral boundary conditions

Ukrainian Mathematical Journal, 1990
Here is proved uniqueness and existence of the classical solution of a nonlinear Goursat problem with integral boundary conditions. This main result of the paper is obtained on the basis of the contraction mapping principle and the method of successive approximations. A priori estimates for the solution in question and its partial derivatives are found.
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