Sentence examples for ensure existence from inspiring English sources

Stability issues are discussed to ensure existence and uniqueness of the solution of the corresponding discrete finite element formulation.

The following assumption is made to ensure existence and uniqueness of a strong solution to system (4).

In both cases an appropriate contraction is determined by the usual continuity and Lipschitz conditions, which ensure existence and uniqueness of the solution.

We use advanced results from the calculus of variations to ensure existence of a solution and derive sufficient and necessary conditions for optimality.

Liu et al. [20, 21] obtained several sufficient conditions which ensure existence and stability of periodic solution for BAM neural networks with periodic coefficients and time-varying delays.

For instance, as we have noticed in the previous section, to ensure existence results for linear boundary conditions, we make use of the fixed point theory.

This ensures existence of a laissez faire equilibrium.

Finally, they gave criteria ensuring existence and non-existence of T-periodic solutions to (1.2) when F had multiple well.

This is the reason why the authors proposed the constraint below, which ensures existence of a minimum.

Here, the main mathematical property ensuring existence and uniqueness of such a measure would be uniform hyperbolicity.

Finally, the MINLP problem can be stated as a MILP problem which is tractable ensuring existence of theoretical results.