Sentence examples for and uniqueness of the problem is from inspiring English sources

The existence and uniqueness of the problem is found by the Banach fixed point theorem.

Further existence and uniqueness of the proposed problem are given and moreover the condition of convergence is verified.

The uniqueness of the solution of the problem is proved.

The existence and uniqueness of this initial problem is important to prove our main result.

Different variants of the problem are investigated, including uniqueness requirements and reserve routes.

Moreover, the uniqueness of the inverse problem is established by analytic continuation and Laplace transform.

Then, the existence and uniqueness of the above nonlinear problem are derived.

The conditions of existence and uniqueness of the inverse problem solution are discussed.

The uniqueness of the Cauchy problems is also investigated by using the same transform.

By using this judgment, the existence and uniqueness of the optimal control problem solutions were proved.

Finally, the issue of existence and uniqueness of solutions to the Riemann problem is discussed.