Results 251 to 260 of about 4,458,478 (284)

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 equations

Functional Analysis and Its Applications, 1987
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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 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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Symmetric positive solutions of boundary value problems with integral boundary conditions

Applied Mathematics and Computation, 2012
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Xuemei Zhang, Weigao Ge
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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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BINN: A deep learning approach for computational mechanics problems based on boundary integral equations

Computer Methods in Applied Mechanics and Engineering, 2023
Jia Sun, Zhenhan Yao, Yizheng Wang
exaly