%0 Journal Article
%T Existence of solutions in the alpha-norm for partial differential equations of neutral type with finite delay
%A Khalil Ezzinbi
%A Hatem Megdiche
%A Amor Rebey
%J Electronic Journal of Differential Equations
%D 2010
%I Texas State University
%X In this work, we prove results on the local existence of mild solution and global continuation in the alpha-norm for some class of partial neutral differential equations. We suppose that the linear part generates a compact analytic semigroup. The nonlinear part is just assumed to be continuous. We use the compactness method, to show the main result of this work.
%K Neutral equation
%K analytic semigroup
%K fractional power
%K phase space
%K mild solution
%K Sadovskii's fixed point theorem
%U http://ejde.math.txstate.edu/Volumes/2010/157/abstr.html