GLOBAL EXISTENCE FOR RETARDED VOLTERRA INTEGRODIFFERENTIAL EQUATIONS WITH HILLE-YOSIDA OPERATORS

In this paper, we study the existence and uniqueness of classical global solutions of some integrodifferential equations with infinite delay. We loosen the conditions of the integral term in the equations which are more general than those that have been mentioned in many previous studies. Some sufficient conditions are given which ensure the existence and uniqueness of solutions on [0, ∞). We assume linear part is not necessary to be densely defined and satisfies a Hille-Yosida condition. By using matrix operators and fixed point theorems, we obtain new results for the retarded integrodifferential equations.