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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap108-3-3,
author = {Chao Wang and Yongkun Li},
title = {Weighted pseudo almost automorphic functions with applications to abstract dynamic equations on time scales},
journal = {Annales Polonici Mathematici},
volume = {107},
year = {2013},
pages = {225-240},
zbl = {1287.34085},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap108-3-3}
}
Chao Wang; Yongkun Li. Weighted pseudo almost automorphic functions with applications to abstract dynamic equations on time scales. Annales Polonici Mathematici, Tome 107 (2013) pp. 225-240. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap108-3-3/