Sentence examples for basic results concerning the from inspiring English sources

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

First, we state some basic results concerning the trace of the Oriented Markov Matrix.

For other details and basic results concerning the above notions, see, for example, [2, 41, 44 50].

We end this section with Lemma 2.4, which gives some basic results concerning the existence of iterative roots for strictly monotonic self-mappings.

In the following two subsections, the basic results concerning the first two aspects of the case problem analysis have been presented.

In the next section, we contextualize the problem with a brief introduction to differential equations with reflection and state some basic results concerning the Green's function associated with them.

Our basic result concerning the dynamics of the phenotypic mean is that it relaxes over a time scale that is inversely proportional to the initial variance.

See also [3], Chapter 8] for basic results concerning equation (3).

For convenience, let us give some basic results concerning spectral radius.

The paper is organized as follows: in Section 2 we summarize some fixed point theorems for mappings satisfying Prešić type contractive conditions, in Section 3 we present the basic concepts and results concerning the stability of fixed point iteration procedures associated to self-mappings that satisfy explicit contractive conditions.

Let A ∈ F ( Y ), a ∈ [ 0, 1 ], then the set ( A ) a = { y ∈ Y : A ( y ) > a } is called a strong a-cut set of the fuzzy set A. For the reader's convenience, we review a few basic definitions and results concerning the measurability of correspondences.