Electronic Journal of Differential Equations,
Vol. 2006(2006), No. 79, pp. 1-10.

Title: Pseudo almost periodic solutions to some differential 
       equations with infinite delay

Author: Toka Diagana (Howard Univ., Washington D.C., USA)
	 
Abstract: 
 This paper studies some sufficient conditions for the existence and
 uniqueness of a pseudo almost periodic mild solution to
 abstract hyperbolic differential equations with infinite delay.
 Applications include the existence and uniqueness of a pseudo
 almost periodic mild solution to the heat equation.
 
Submitted May 29, 2006. Published July 19, 2006.
Math Subject Classifications: 34G20, 47A55.
Key Words: Sectorial operator; analytic semigroup; infinite delay;
    hyperbolic semigroup; almost periodic; pseudo almost periodic;
    heat equation.