Sentence examples for ensuring existence from inspiring English sources

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.

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

By employing the Holder's inequality and fixed points principle, we present some new criteria ensuring existence and uniqueness of a quadratic mean almost periodic and global exponential stability.

The result that we set forth in this section is the following theorem ensuring existence and location of solution for problem (1).

By using M-matrix theory, some inequality analysis technology and mathematical induction, some sufficient conditions are derived ensuring existence and global exponential stability of the equilibrium points of delayed cellular neural networks (DCNNS) with impulses.

This ensures existence of a laissez faire equilibrium.

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

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

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.