Sentence examples for existent result from inspiring English sources

Our purpose is to apply Theorem 3.1 in order to establish the existent result of (4.1 - 4.2 4.1 - 4.2

Some known existent results on the existence of solutions of the nonlinear elliptic equation are generalized.

Comparison with the existent results shows a good agreement.

This result extends many existent results and generalizes many related problems in the literature.

We illustrate the paper with several examples and provide extensive comparisons with existent results.

The existent results on the upper and lower bounds of the spectral radius of nonnegative matrices are improved.

Using directional hidden contractions, we will present some new fixed point results and show that several already existent results could be improved.

The validity of new formulations is examined by considering a laminated magneto-electro-elastic rectangular plate and good agreement is obtained with existent results.

This work extends the existent results to a more general class of matrix materials – orthotropic materials, which requires the ability to calculate the Eshelby tensor for an ellipsoid in non-isotropic matrix.

Furthermore, comparison with existent numerical results is presented to validate the present analysis.

Or it might be thought that, on the contrary, wagering against an existent God results in negative infinite utility.