Sentence examples for the solvability of this problem from inspiring English sources

The solvability of this problem is proved.

The solvability of this problem has been considered in [7].

We provide necessary and sufficient conditions for the solvability of this problem.

Necessary and sufficient conditions for the solvability of this problem are derived.

By using basis-dependent Lyapunov functions, sufficient conditions for the solvability of this problem are obtained.

Necessary and sufficient conditions for the solvability of this problem are presented.

The theorem on the necessary and sufficient conditions for the solvability of this inverse problem is proved and a solution algorithm of the inverse problem is given.

In this paper we develop a novel numerical method to verify the solvability of the problem for left invertible systems and further construct a desired solution.

Sufficient conditions of the solvability of the problem are obtained.

Then, the solvability of the problem is proved.

The solvability of the problem, (see [7, Theorems 3.1, 3.2]).