boundary value problem

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boundary value problem

[′bau̇n·drē ‚val·yü ‚präb·ləm]
(mathematics)
A problem, such as the Dirichlet or Neumann problem, which involves finding the solution of a differential equation or system of differential equations which meets certain specified requirements, usually connected with physical conditions, for certain values of the independent variable.
References in periodicals archive ?
it is intended for evaluation of the reproducibility and accuracy of the ph, pco2, po2, na +, k +, ca ++, glucose, lactate, hematocrit (1 ur-minimum ph, pco2, po2, na +, k +, ca ++, glucose, lactate, 2- the maximum boundary values of ph, pco2, po2, na +, k +, ca ++, glucose, lactate, 3rd ur - minimum boundary values of hematocrit, 4th ur - maximum boundary values) on the blood gas analyzer with quality control in mode real time.
These boundary values are fed into the NEW android app.
Let u, v be two solutions of (1) with the partial homogeneous boundary values (4) and with the initial values [u.sub.0], [v.sub.0], respectively.
These include, analysis of requirements, generation and analysis of equivalence classes, analysis of boundary values and error guessing.
In Section 3, we establish analogues of results from Section 2, in terms of smoothness with respect to boundary values, for solutions of the nonlocal problem (1.1), (1.2).
The numerical results obtained were everywhere finite, free of singularities, and confirmed the well-known prediction that [u.sub.RS.sup.(p)] and [u.sub.RS.sup.(s)] reproduce the boundary values assumed in their derivation ([partial derivative][u.sub.RS.sup.(p)]/[partial derivative]z [right arrow] ik and [u.sub.RS.sup.(s)] [right arrow] 1 as z [right arrow] 0) but not the compatible values ([u.sub.RS.sup.(p)] [right arrow] 1 and [u.sub.RS.sup.(s)]/[partial derivative]z [right arrow] ik) which are implied in the classical postulate that the aperture field is the same as the unperturbed geometrical field incident on the screen.
Data from our previous work was included in the more recent paper because we needed "boundary values" between or below which we were looking for a threshold or a critical level.
It relates the known boundary values [DELTA][g.sup.H](r,[OMEGA]) to the unknown disturbing potential [T.sup.H](r,[OMEGA]) outside and on the geoid.
Liu, "Positive solution to nonzero boundary values problem for a coupled system of nonlinear fractional differential equations," International Journal of Differential Equations, vol.
- Work Package (A): operation of the 1D model for the Lesum-Wmme system with different boundary values ??and associated evaluations (Tidekennwertanalysen);
These boundary values are step functions that violate the wave equation and are the probable cause of the fact, shown in Appendix B, that the Rayleigh-Sommerfeld integrals also do not obey the wave equation in the immediate proximity of the aperture plane.
On the other hand, because of the wide mathematical and physical background, the existence of positive solutions for nonlinear integer-order boundary values problems with p-Laplacian operator has received wide attention (see [8, 12, 13, 21, 24-29]).