On a nonlinear abstract second-order integrodifferential equation part I

The object of this paper is to study the existence, uniqueness and continuation of the solutions of nonlinear second-order integrodifferential equations. In the theory of infinitesimal generator of C_۰- semigroup in a Banach space, the fixed point theorems of Schauder and Banach are used to establish our main results.

کلیدواژه ها:

Integrodifferential equation ، Kernal ، Fixed point theorem ، C۰-semigroup theory