Weighted pseudo almost automorphic functions with applications to abstract dynamic equations on time scales
Volume 108 / 2013
Annales Polonici Mathematici 108 (2013), 225-240
MSC: Primary 34N05; Secondary 34K14, 34K30, 42A85, 44A35, 47D06.
DOI: 10.4064/ap108-3-3
Abstract
We propose a concept of weighted pseudo almost automorphic functions on almost periodic time scales and study some important properties of weighted pseudo almost automorphic functions on almost periodic time scales. As applications, we obtain the conditions for the existence of weighted pseudo almost automorphic mild solutions to a class of semilinear dynamic equations on almost periodic time scales.
