Introduces a new class of D-asymptotically almost periodic functions, highlighting structural results and applications in equations.
In this paper, we introduce and analyze several new classes of D-asymptotically almost periodic type functions of the form F: I × X → Y, where ∅ ≠ I ⊆ R ⁿ, (X, ∥ · ∥) and (Y, ∥ · ∥Y) are complex Banach spaces. We present many structural results for the introduced classes of D-asymptotically almost periodic type functions, providing also some illustrative examples and applications of the established results to the abstract Volterra integro-differential equations.
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Chávez et al. (2025) studied this question.
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