Sentence examples for approximation to establish from inspiring English sources

We use the means of the successive approximation to establish the existence and uniqueness of mild solutions for this class of equations under global and local Carathéodory conditions.

A two dimensional Poisson's equation has been solved with parabolic potential approximation to establish the expressions of front and back channel surface potential distribution and the threshold voltage has been derived from the minima of such obtained potential.

In this paper, we extend their results to the case of m > 2. We have to overcome the difficulty of m > 2. Motivated by the works of Duzaar [4, 5], Chen and Tan [6 9] and Tan [10], we use the technique of 'A-caloric approximation' to establish the optimal partial regularity of nonlinear parabolic systems (1.9).

The use of successive approximations to establish the existence and uniqueness of solutions is at the origin of the metric theory.

In this context, we use an A-harmonic approximation method to establish boundary regularity results.

This control strategy employs the functional approximation technique to establish the unknown function for releasing the model-based requirement.

This control strategy employs the functional approximation technique to establish the unknown function for releasing the model based requirements of the sliding-mode control.

Bogliaccini (2013) established an approximation to prove that deindustrialization in Latin America was related to the application of the Washington Consensus.

We show in Appendix Appendix 2 that introducing that approximation allows us to establish a lower bound for the ergodic capacity (16).

Though there have been a number of approximation methods suggested to establish more accurate critical values for the D-W test, none has been found satisfactory.

Therefore, it is necessary to establish approximation methods for finding solutions.