$(\omega,c)$-Almost Periodic Distributions


Mohammed Taha Khalladi, Marko Kostić, Abdelkader Rahmani, Daniel Velinov




The aim of this work is the introduction of $(w,c)$-almost periodicity (resp. asymptotic $(w,c)$-almost periodicity) in distributions spaces. The characterizations and main properties of these distributions are given. We also study the existence of distributional $(w,c)$-almost periodic solutions of linear differential systems.