Sentence examples for solutions in the case from inspiring English sources

Proof We consider the existence of solutions in the case when f ( x ) ∈ L 1.

From Theorem 23 it follows that there are no solutions in the case (mu> 0).

This paper shows how to determine the asymptotic solutions in the case of degeneracy of order higher than two.

For third order systems, an algorithm for the evaluation of common solutions in the case of existence is given.

We summarize here the results concerning stationary solutions in the case κ = 0. Theorem 2.1 (see [7], Th. 4.1).

It is natural to ask whether we can get multiperiodic wave solutions in the case of (N>2).

A comparison is made between the solutions in the cases of the self-gravitating and the non-gravitating medium for both the magnetic and non-magnetic cases.

A comparison between the solutions in the cases of the self-gravitating and the non-gravitating medium is made for both the magnetic and non-magnetic cases.

In order to select optimal solutions in the cases of single-objective and multi-objectives optimization problems, optimization includes two main approaches.

A comparison between the solutions in the cases of the gravitating and the non-gravitating medium with or without magnetic field is made.

A comparison is made between the solutions in the cases of the gravitating and the non-gravitating medium with or without magnetic field.