In this note, we introduce the class of Besicovitch-Doss almost periodic functions in Banach spaces. After that, we investigate Besicovitch-Doss almost periodic properties of finite and infinite convolution products. Our results can be simply incorporated in the qualitative analysis of solutions of certain classes of abstract (degenerate) Volterra integro-differential equations in Banach spaces.
@article{6546, title = {ON BESICOVITCH-DOSS ALMOST PERIODIC SOLUTIONS OF ABSTRACT VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS}, journal = {Novi Sad Journal of Mathematics}, volume = {46}, year = {2017}, language = {EN}, url = {http://dml.mathdoc.fr/item/6546} }
Kostic, Marko -. ON BESICOVITCH-DOSS ALMOST PERIODIC SOLUTIONS OF ABSTRACT VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS. Novi Sad Journal of Mathematics, Tome 46 (2017) . http://gdmltest.u-ga.fr/item/6546/