Sentence examples for criterion of existence from inspiring English sources

The most widely used linguistic criterion of existence is due to Quine, who coined the slogan "To be is to be the value of a variable".

In particular, our result extends the criterion of existence of a point process from that paper to the case of the topological space X, which is a standard underlying space in the theory of point processes.

On the above basis, we obtain some criteria of existence for stationary solution about the model (1.2).

Our goal is to establish some criteria of existence for the boundary problems with nonlocal boundary condition involving the Caputo fractional derivative, using Banach's fixed point theorem and Schaefer's fixed point theorem.

An analogous expression was also obtained for the radial solid phase hold-up distribution and has enabled the proposition of a criterion for existence of radial transport gradient in gas-induced stirred tanks (GIST).

Under more general order conditions and measure of noncompactness conditions on the nonlinear term f, criteria on existence of positive solutions are obtained.

Thus, this work we shall devote to finding the upper and lower solution of the system (1.1), and by means of the Schauder fixed point theorem to establish the criterion of the existence of positive solutions for the system (1.1).

The phenomenon of underpotential deposition, noted by recording potential sweep voltammograms (PSV), was taken as a criterion of the existence and strength of interaction between a substrate and the depositing metal.

Following the preparative theorem in Section 2, in Section 3, we state and prove the main result, that is, the sufficient criterion of the existence of solutions for BVP (1.1).

Owing to the singularity of (f_{i}), in this work, we shall devote our efforts to finding the suitable upper and lower solution of the system (1.1), and establishing the criterion of the existence of positive solutions for the system (1.1) by the virtue of the Schauder fixed point theorem.

For this end, a dynamic controller is proposed for the first time and a criterion for existence of the controller is given in terms of LMIs.