On Semilinear Integro-Differential Equations with Nonlocal Conditions in Banach Spaces.

We study the abstract Cauchy problem for a class of integrodifferential equations in a Banach space with nonlinear perturbations and nonlocal conditions. By using MNC estimates, the existence and continuous dependence results are proved. Under some additional assumptions, we study the topological structure of the solution set. [ABSTRACT FROM AUTHOR]