Liangping Qi and Rong Yuan. Factorization of Scalar Piecewise Continuous Almost Periodic Functions. Dynamic Systems and Applications 30 (2021) No. 9, 1421-1433

https://doi.org/10.46719/dsa202130.09.02

ABSTRACT.
This paper is to characterize piecewise continuous almost periodic functions as the
product of Bohr almost periodic functions and sequences. As applications, the result is used to
discuss piecewise continuous almost periodic solutions of impulsive differential equations.

AMS (MOS) Subject Classification. 42A75, 34A37, 34C27.
Key Words and Phrases. Piecewise Continuous Almost Periodic Functions; Impulsive Differential
Equations; Factorization.