Integrodifferential equations with analytic semigroups

Abstract

In this paper we study a class of integrodifferential equations considered in an arbitrary Banach space. Using the theory of analytic semigroups we establish the existence, uniqueness, regularity and continuation of solutions to these integrodifferential equations.

Nonlocal Cauchy problem for nonlinear mixed integrodifferential equations

“…The objective of the present paper is to generalize the results of [3,4,6,7,10,11,12,13,14]. Here, we investigate the existence of mild and strong solutions of the problem (1.1)−(1.2).…”