In this paper, we investigate the inverse generator problem for abstract degenerate Volterra integro-differential equations in locally convex spaces. The classes of (a, k)-regularized C-resolvent families and mild $$(C_{1},C_{2})$$ -existence uniqueness play an important role our analysis. We provide several illustrative applications theoretical results obtained primarily to fractional differen...

Abstract We study the Volterra integro-differential equation on time scales and provide sufficient conditions for boundness of all solutions considered equation. Using that result, we present exponential stability All results proved general scale include both integral discrete equations.

In this paper, we introduce several various classes of (?, c)-almost periodic type functions and their Stepanov generalizations. We also consider the corresponding depending on two variables related composition principles. provide illustrative examples applications to abstract Volterra integro-differential equations in Banach spaces.