Sentence examples for by applying the comparison from inspiring English sources

By applying the comparison principle [20] to system (1.6), we have and in.

By applying the comparison theorem of difference equation, sufficient conditions are obtained for the permanence of the system.

end{aligned} (1.2) By applying the comparison theorem of a difference equation, they obtained sufficient conditions to the permanence of the system.

By applying the comparison theorem of a difference equation and constructing some suitable Lyapunov functions, sufficient conditions are obtained for the permanence and the extinction of the system.

We have developed a rigorous analysis of the model by applying the comparison theory of differential equations and uniform persistence theory.

The aim of this paper is, by applying the comparison theorem of difference equation, to obtain a set of sufficient conditions which guarantee the permanence of the system (1.5).

Since, by applying the Sturm comparison theorem to and, we know that must have some zero in, the interior of the interval because and are consecutive zeros of.

In addition, by applying the list comparison algorithm to a similar dataset from mouse, we confirmed and extended the findings already reported in [ 17] about the close association of the two interventions in mouse.

By applying the shooting method and the comparison principle, we obtain some new results which extend the known ones.

In [24], by applying the shooting method and the comparison principle, Wang investigated the existence results of positive solutions for the Riemann-Stieltjes integrals BVPs left { textstylebegin{array}l} u t)+a(t)f u(t))=0, quad 0< t< 1, u(0)=0, qquad u(1)=alphaint^{eta}_{0}u(s),ds, end{array}displaystyle right.

The geometric mean from each Kruskal Wallis test was determined to be statistically different by applying the multiple mean rank comparison.