Address. Department of Mathematics, University of Ioannina, 451 10 Ioannina, GREECE
Abstract. In this paper, we study the global existence of solutions for first and second order initial value problems for functional semilinear integrodifferential equations in Banach space, by using the Leray-Schauder Alternative or the Nonlinear Alternative for contractive maps.
Keywords. Leray-Schauder Alternative, a priori bounds, partial functional integrodifferential equations, global existence