Sentence examples for applicable to prove from inspiring English sources

Therefore, the methods of [1, 2, 16] are no longer applicable to prove the existence of periodic solutions for Eq. (1.3) with attractive singularity.

It is clear that all the results in [8, 9] and the references therein cannot be applicable to prove that all solutions to model (4.1) with initial value (1.4) converge exponentially to the positive equilibrium.

One can observe that all the results in this literature and the references therein can not be applicable to prove the existence and exponential stability of almost periodic solutions for SICNNs (4.1).

It is obvious that all results in [3, 4] and the references therein cannot be applicable to prove that all solutions of system (4.1) converge exponentially to a positive periodic solution since the system has time-varying coefficients and delays.

It is clear that all the results in [1, 2, 10, 11, 24] and the references therein cannot be applicable to prove that there exist two 2π-positive periodic solutions for model (3.1).

It is clear that all the results in [25 35] and the references therein cannot be applicable to prove that all the solutions of (4.1) converge exponentially to the positive almost periodic solution.

It is clear that the results in [11 13] and the references therein cannot be applicable to system (4.1) to prove the global exponential stability of a positive almost periodic solution.

As the data were collected in different countries with patients with different characteristics, the simple rules are likely to prove applicable and to perform well in other populations.

If our observations were to prove applicable to humans, it would suggest encouraging consumption of foods with high soluble fiber content may be a means to combat the epidemic of metabolic disease.

Our objective is to prove general convergence theorems applicable to all these classes.

This optical sensor-based method applicable to tissue homogenates proved to be efficient for low hydrogen peroxide concentrations (physiological and nontoxic levels) to which the widely used UV method is not accurately responsive.