Sentence examples for solution boundaries from inspiring English sources

This procedure runs until all solutions are located in solution boundaries.

The nonexistence of a positive solution boundary value problem for a class nonlinear fractional difference equations with 3 < α ≤ 4 is considered in terms of parameter.

The semi-suspended bio-carrier caused three different mass transfer zones occurring in the bioreactor, including the zones of bulk solution, boundary layer and biofilm, in which, the boundary layer zone had an obvious higher mass transfer resistance.

The methods discussed in [ 37] and [ 38] assess the curvature of the solution boundary, which is used in an analytical correction formula to estimate the magnitude of the shifted bootstrap distribution.

The partial solutions (boundaries) are exchanged using built-in functions of the MPI.

The extended picture in (a) depicts the bubble-solution boundary indicating the process by which fine particles were attracted to the bubble surface.

Therefore, previous studies mainly focus on the one-electron reduction reactions between different oxidation states of transition metals to avoid modeling of an electrode-solution boundary [18 20].

Furthermore, the dependence of precipitation rates on ion transport across the solid-solution boundary should also be a function of the ion ratio.

Then (u^) is a positive solution of boundary value problem (1.1) if and only if (u=u^+omega ) is a positive solution of boundary value problem (3.2) and (u(t geq omega (t)) for (tin [0,1]).

Suppose u is a solution to boundary value problem (2.1).

for the solution of boundary value problem (10).