Address. Department of Mathematics, University of Ioannina, 451 10 Ioannina, GREECE
E-mail: sntouyas@cc.uoi.gr
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.
AMSclassification. 35R10
Keywords. Leray-Schauder Alternative, a priori bounds, partial functional integrodifferential equations, global existence