The main purpose of this paper is to introduce the class of (equi-) Weyl $C^{(n)}$-almost periodic functions and the class of asymptotically (equi-) Weyl $C^{(n)}$-almost periodic functions as well as to examine the existence and uniqueness of solutions of abstract inhomogenous Volterra integro-differential equations belonging these classes of functions. The Besicovitch-Doss $C^{(n)}$-almost periodic functions and solutions of abstract inhomogenous Volterra integro-differential equations belonging this class of functions are also considered.
@article{6635, title = {ON GENERALIZED $C^{(n)}$-ALMOST PERIODIC SOLUTIONS OF ABSTRACT VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS}, journal = {Novi Sad Journal of Mathematics}, volume = {48}, year = {2018}, language = {EN}, url = {http://dml.mathdoc.fr/item/6635} }
Kostic, Marko -. ON GENERALIZED $C^{(n)}$-ALMOST PERIODIC SOLUTIONS OF ABSTRACT VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS. Novi Sad Journal of Mathematics, Tome 48 (2018) . http://gdmltest.u-ga.fr/item/6635/