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Discontinuous generalized double-almost-periodic functions on almost-complete-closed time scales

Discontinuous generalized double-almost-periodic functions on almost-complete-closed time scales

Abstract In this paper, we introduce the concept of almost-complete-closed time scales (ACCTS) that allows independent variables of functions to possess almost-periodicity under translations. For this new type of time scale, a class of piecewise functions with double-almost-periodicity is proposed and studied. Based on these, concepts of weighted pseudo-double-almost-periodic functions …