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References in periodicals archive ?
The Green's function plays an important role in the theory of boundary value problems.
* Then transport and bias are set by choosing ballistic transport using Green's function approach.
We use the obtained Green's function shape to build the discontinued problem solution (8)-(11).
The field operators (6) allow us to define generalized single-particle Green's function by using a tensor product of these two matrices.
It is well-known that employing the 2D Green's function of the empty casing is computationally expensive [19, 20].
Solution of this differential equation in displacements [u'.sub.k]([??]) can be found using Green's function method.
Next, Green's function for integral boundary value problem (1)-(2) is derived and the properties of Green's function are concluded.
Some New Upper and Lower Estimates for the Green's Function
In continuous theory, a Green's function of a wave equation is the solution of the wave equation with a point source.
The first two theorems provide Green's function and its properties, the last two yield Lyapunov type inequality and disconjugacy criterion.
where G is Green's function solution to the diffusion equation and f is the fluorescent yield of fluorochrome.
where G(r,t | [r.sup.*], [tau]) is Green's function. In this case F(r) = 0, g([r.sup.*], [tau]) = [[??].sub.RF] = [kappa]/[r.sup.*2], and f([tau]) = [[theta].sub.c].