Sentence examples for analyzing the existence from inspiring English sources

It is designed through analyzing the existence of finite steady state operating point.

For the sake of analyzing the existence and stability together with convergence of the FVE solutions, we need to use three lemmas (see [8, 13, 19, 21]).

Professor Jean Mawhin is recognized worldwide as one of the pioneers in the development of topological tools for analyzing the existence and multiplicity of periodic solutions in very general classes of nonlinear differential equations and systems.

Finally, through analyzing the existence condition of the minimum and guaranteeing the positivity of the minimum, a sufficient and necessary condition for the existence of an H∞ smoother is proposed and the smoother is obtained in terms of two standard Riccati difference equations.

A more general and interesting approach regarding risk analysis and epistemological decision making would consist in analyzing the existence of families of equivalent model parameters that are compatible with the prior information and predict the observed data within the same error bounds.

Therefore, in this article, we devote ourselves to establishing the SMFEROE model via the POD method for the 2D unsteady conduction-convection problem, analyzing the existence and uniqueness and the stability as well as the convergence of the SMFEROE solutions and validating the correctness and dependability of the SMFEROE model by means of numerical simulations.

In the next section, we analyze the existence of the Hopf bifurcation.

We first analyze the existence of Nash equilibria in a symmetric two-company competition case.

Next, we will analyze the existence, uniqueness, and regularity of the solution of (2.7).

In this paper, we analyze the existence of Hopf bifurcation in an extended Lorenz system.

In Section 3, we analyze the existence and stability of disease-free and endemic equilibrium points.