Sentence examples for establishing the uniqueness from inspiring English sources

Establishing the uniqueness of ({x_{k}}).

Furthermore we introduce a criteria establishing the uniqueness of fixed points for the mentioned operators.

Before establishing the uniqueness of NE in the power allocation game, we need the following definition.

Fractional integral inequalities are useful in establishing the uniqueness of solutions for certain fractional partial differential equations.

Fractional inequalities are useful in establishing the uniqueness of solution for partial differential equations of fractional order.

In fact fractional integral inequalities are useful in establishing the uniqueness of solutions for partial differential equations of fractional order, also they provide upper and lower bounds for solutions of fractional boundary value problems.

In Section 4, we establish the uniqueness of the solution.

We classify the solutions and establish the uniqueness of radially symmetric solutions.

We also establish the uniqueness of the solution if the reaction terms satisfy the Lipschitz condition.

At last, we establish the uniqueness results when the reaction terms satisfy the Lipschitz condition.

We establish the uniqueness of the solution of Problem 1 under WUFBC in the next section.