Sentence examples for basic result about from inspiring English sources

To start, we need a basic result about linear ODEs on Banach spaces: Let X be a Banach space and ({{mathcal M}_t}_{0 le t le T}) a family of norm continuous (in t) linear maps on X.

Here some basic results about the Laplacian are used.

We prepare some basic results about the spectrum (sigma_{0}) of (H 0)).

We first review some basic results about fractional sums and differences.

In Section 2, we recall some basic results about order-one periodic solutions.

At first we recall some basic results about S-metric spaces.

First basic results about the complex powers of these operators are established.

We will firstly in Section 2 introduce some notations, concepts, and basic results about linear evolution system and stochastic process.

First, let us recall some definitions and basic results about Hilbert's projection metric (for more details, see [6]).

Next, let us recall some notations and basic results about the scalarization function ξ e. Lemma 3.3.

For the reader's convenience, we recall some definitions and basic results about almost periodic functions (for more details, see [13]).