TITLE:
Periodic Solutions of Integro-Differential Equations
AUTHORS:
Bahloul Rachid
KEYWORDS:
Integro-Differential Equations, Bsp, q-Multipliers, Besov Space
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.12 No.3,
March
10,
2022
ABSTRACT: The aim of this work is to study the existence of periodic solutions of integro-differential equations , (0 ≤ t ≤ 2π) with the periodic condition x(0) = x(2π) , where a ∈ L1 (R+). Our approach is based on the M-boundedness of linear operators Bsp,q-multipliers and some results in Besov space.