Asymptotically almost periodic type functions of several variables and applications

Chávez A.; Khalil K.; Kostić M.; Pinto M. · Filomat (2025) · DOI: 10.2298/fil2531061c

Resumen

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 ⊆ Rn, (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.

Instituciones: Universidad Nacional de Trujillo