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First basic results about the complex powers of these operators are established.
Here some basic results about the Laplacian are used.
We prepare some basic results about the spectrum (sigma_{0}) of (H 0)).
Next, let us recall some notations and basic results about the scalarization function ξ e. Lemma 3.3.
In this section, we recall some concepts and basic results about the Lebesgue-Stieltjes integral and regulated functions and the Kuratowski measure of noncompactness.
Various results on existence and uniqueness of boundary value problems for this equation and its stability were obtained in [4], where also the basic results about the representation of solutions were presented.
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For the reader's convenience, we recall some definitions and basic results about almost periodic functions (for more details, see [13]).
In Section 2, we recall some basic results about order-one periodic solutions.
We first review some basic results about fractional sums and differences.
At first we recall some basic results about S-metric spaces.
We will firstly in Section 2 introduce some notations, concepts, and basic results about linear evolution system and stochastic process.
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