Besicovitch almost periodic solutions of abstract semi-linear differential equations with delay

Autor: Li, Yongkun, Huang, Mei, Li, Bing
Rok vydání: 2021
Předmět:
Zdroj: Mathematics 2022, 10(4), 639
Druh dokumentu: Working Paper
DOI: 10.3390/math10040639
Popis: In this paper, we first use the Bohr property to give a definition of Besicovitch almost periodic functions, and study some basic properties of Besicovitch almost periodic functions, including the equivalence of the Bohr property and the Bochner property. Then, as an application, we use the contraction principal to obtain the existence and uniqueness of Besicovitch almost periodic solutions for a class of abstract semi-linear differential equations with delay.
Databáze: arXiv