In this work, we study the local existence of mild solutions for some partial functional integrodifferential equations. We suppose that the linear part has a resolvent operator in the sense of Grimmer . The nonlinear part is just assumed to be continuous. We have also that the solution may blow up in finite time. An application is provided to illustration.
"Local Existence and Global Continuation for Some Partial Functional Integrodifferential Equations." Afr. Diaspora J. Math. (N.S.) 12 (1) 34 - 45, 2011.