Sentence examples for to establish comparison from inspiring English sources
In this paper, we have investigated that initial time difference boundedness criteria and Lagrange stability for fractional order differential equation in Caputo's sense are unified with Lyapunov-like functions to establish comparison result.
On the other hand, in the existing comparison results of this kind, there are studied equations always compared with canonical second order differential equation, but in this article we were able to establish comparison with noncanonical differential equation.
The main purpose of the paper is to establish comparison results which allow us to use upper and lower solutions in order to build two convergent monotonic sequences of functions with discrete domains.
Some results apply to more general situations including more general fully nonlinear elliptic equations of second order, and some have been used in a companion paper to establish comparison principles and Liouville type theorems for degenerate elliptic equations.
Some studies were quasi-experimental, using longitudinal surveys or matching methods to establish comparison groups.
In addition, we have the potential to establish comparison groups in whom the mechanism of onset is consistent resulting in the ability to use true experimental design in studies of LBP potentially allowing us to test responses to intervention in a homogenous LBP model.
More studies must be done to establish comparisons between dietetic MD and cereal grains starch.
It makes also possible to establish comparisons between different systems and to be able to identify a specific risk regulation regime.
From this perspective, it is not possible to establish comparisons with the absolute score when assessing the significance of the scores of our sample.
These, results demonstrate the capacity of the integrated model to establish comparisons with urban plans, and its utility to explain both the amount and constraints of urban growth.
Soil moisture field data were collected on eight occasions throughout 2005 and January 2006 to establish comparisons within and among eight homogeneous plots.
