Sentence examples for basic results and the from inspiring English sources

In Preliminaries, we give some basic results and the idea for the variation of BSDEs.

To begin with, we assume that the reader is familiar with the basic results and the standard notations of the Nevanlinna theory of meromorphic functions (see [1 3]).

Too much attention has been focused on basic results and the implications of those rather than using the tests as a powerful tool to improve the method.

We assume that readers are familiar with the basic results and notations of the Nevanlinna value distribution theory of meromorphic functions (see, e.g., [1 4]).

These results confirm the basic results and suggest that while background has an effect on this gene, there is no statistical interaction with that background.

In this section, we recall some concepts and basic results about the Lebesgue-Stieltjes integral and regulated functions and the Kuratowski measure of noncompactness.

In this section, we will firstly give some definitions and basic results for the fuzzy differentials and fuzzy integrals.

The Methods contain introduction, all necessary definitions and basic results of the asymptotology of biochemical reaction networks (quasiequilibrium, quasi steady-state, limiting step and dominant system asymptotics), used further in the Results.

Next, we will state and prove some basic results on the existence, uniqueness, positivity and ultimate boundedness of solutions with positive initial conditions for model (4).

In Section 2, we recall some required concepts and basic results for the later use.

Furthermore, they established some basic results concerning the strict and nonstrict differential inequalities.