Sentence examples for existence of the solution from inspiring English sources

Theorem 3.8 provides the existence of the solution u ∈ C ∞.

Then the global existence of the solution follows.

Firstly, we prove the existence of the solution.

First, we prove the existence of the solution.

Figure 1 Existence of the solution to the system ( 1.2 ).

The theorems of existence of the solution and necessary condition have been represented in the paper.

We prove the existence of the solution of the discrete problem.

Concerning the uniqueness and existence of the solution to, we have the following proposition.

The existence of the solution on R + is proved in Theorem B.6.

Assume that T ⋆ is the maximal time of existence of the solution to problem (1.4 - 1.5).

In the same work, the local existence of the solution for homogeneous boundary conditions is proved.