Sentence examples for solution of the perturbation from inspiring English sources

Then, is a solution of the perturbation (3.28).

Hence, by the strong maximum principle, (u_{alpha }) is a positive solution of the perturbation problem (3.1).

An iteration scheme based on the secant system operator is given for the solution of the perturbation equations in case that a tangent matrix is not available.

Improvements on this theory could be obtained by implementing: A) a better approximation for the Green's function describing the fluence at the fluorophore site, which could be obtained by using high-order solutions of the perturbation theory [ 26, 27, 42] or exact RTE solutions [ 39]; B) the whole integral on the volume V′.

In such a situation, there is, in general, no continuous dependence of solutions on the perturbations.

Some differential equations representing a certain dynamical system have not analytical solution, so the perturbation of such problems can be helpful.

Evidently, some differential equations representing a certain dynamical system have no analytical solution, so the perturbation of such problems can be helpful.

As a result of the perturbation solutions, the combined model, which consists of the continuous model and the subsequent instantaneous model, is necessary for a large spill source rate, whereas the continuous model is only required for a small spill source rate.

We investigate multiple solutions for the perturbation of a singular potential biharmonic problem with fixed energy.

With the use of multiple source-detector pairs over a specified field of view (FOV), images can be reconstructed by mapping the detected signals to the Green's solution of the linearized perturbation diffusion model for tissue-light interactions [ 2, 3].

Moreover, we obtain that the solution of the perturbed initial value problem converges to the corresponding Riemann solution as ε approaches zero, which shows the stability of the Riemann solution for the small perturbation.