Electronic Journal of Differential Equations,
Vol. 2003(2003), No. 116, pp. 1-13.

Title: Existence and stability for some partial functional differential 
       equations with infinite delay

Author: Khalil Ezzinbi (Univ. Cadi Ayyad, Morocco)

Abstract: 
  We study the existence, regularity, and stability of solutions for 
  some partial functional differential equations with infinite delay.
  We assume that the linear part is not necessarily densely defined and 
  satisfies the  Hille-Yosida condition on a Banach space $X$. 
  The nonlinear term takes its values in space larger than $X$, namely 
  the extrapolated Favard class of the extrapolated semigroup 
  corresponding to the linear part. Our approach is based on the theory 
  of the extrapolation spaces.

Submitted May 29, 2003. Published November 26, 2003.
Math Subject Classifications: 34K20, 34K30, 34K40, 45N05.
Key Words: Hille-Yosida operator; extrapolation spaces; Favard class;
           regularity; partial functional differential equations;   
	   infinite delay; mild solution;  linearized stability.