Sentence examples for guaranteed existence from inspiring English sources

We determine conditions on the coefficients that guarantee existence and nonexistence of positive solutions.

This constraint is regularized by including a compact and linear operator S to guarantee existence of solutions.

In particular, we provide a parsimonious collection of exogenous conditions over model primitives that guarantee existence of SE, and ensure that an appropriate approximation property to MPE holds, in a general model with possibly unbounded state spaces.

The study presented in this work shows that the viscous profile entropy criterion is too selective in reducing the number of solutions to guarantee existence of stable weak self-similar Riemann solutions to conservation laws.

Our analysis also allows to establish conditions on the controller complexity that guarantee existence of a unique global minimum of the identification criterion in the absence of external excitation; these conditions extend to the MIMO case conditions that were known for the SISO case.

This is the minimal framework to guarantee existence of the minimizers at each step, and to get estimates as in (2.11) providing the existence of a limit curve.

When satisfied, this condition guarantees existence of an interpolating surface.

In a few very important cases, noncentralization is given support through the constitutionally guaranteed existence of different systems of law in the constituent polities.

However, it guarantees existence of enough paths connecting the information source to the sink so that all the traffic can be transmitted to the sink.

In this section we show that Theorem 2.1 guarantees existence of solutions to some cases of (4.1) not covered by the existence results in [6, 7].

In 1986, Turinici [21] gave an initial result for guaranteeing existence of fixed points by involving a new algebraic structure: a partial order on the metric space.