Sentence examples for applying the nonlinear from inspiring English sources

Applying the nonlinear alternative of Leray-Schauder, we prove the existence of solutions of the fractional differential system.

However, given the BDS results presented previously, we choose to summarize the findings from Table 9 only for those obtained when applying the nonlinear test.

According to Tables 3 and 7, using the genetic algorithm caused an increase in the objective function values of the models rather than applying the nonlinear mathematical optimization.

By applying the nonlinear alternative of Leray-Schauder, Ma [13] have showed the existence of at least one solution for the problem (1.3) when a = 1.

The SEIR model ( 3.1 )-( 3.2 ) is diffeomorphic on D to the system ( 3.4 )-( 3.5 ) by applying the nonlinear coordinate transformation ( 3.3 ).

In the following theorem we give an existence result for the problem (1.1) by applying the nonlinear alternative of Leray-Schauder type and by which the conditions and are weakened.

When time varying voltage is applied, the nonlinear differential equation is solved using a perturbation technique.

Finally, we apply the nonlinear scalarization function to discuss the weak -sharp minimizer in vector optimization problems.

The aim of this paper is to apply the nonlinear observer normal forms to address this problem.

begin{aligned} omega =frac{C}{r^2} end{aligned} (1)To fix the temporary value (C), we applied the nonlinear regression model to the experimental data [33].

We began by assuming a rectangular fault model in an elastic half-space (Okada [1985]) and then applied the nonlinear inversion method formulated in Matsu'ura and Hasegawa ([1987]).