Аннотация:
In this paper, we consider various classes of metrically piecewise continuous $\rho$-almost periodic functions. We analyze the basic structural results for the introduced classes of functions, providing also certain applications of our results to the abstract Volterra integro-differential equations in Banach spaces.
Ключевые слова и фразы:
metrically piecewise continuous $\rho$-almost periodic functions, Stepanov metrically $\rho$-almost periodic functions, abstract Volterra integro-differential equations.