Electronic Journal of Differential Equations,
Vol. 2004(2004), No. 38, pp. 1-19.

Title: New characterizations of asymptotic stability
       for evolution families on Banach spaces
       
Authors: Sorina Barza (Karlstad Univ., Sweden)
         Constantin Buse (West Univ. of Timisoara, Romania)
	 Josip Pecaric (Univ. of Zagreb, Croatia)

Abstract: 
 We generalize the Datko-Rolewicz theorem on exponential stability
 in the non-autonomous case. Also, we extend the results obtained by
 Jan van Neerven [18]
  
Submitted March 10, 2004. Published March 22, 2004.
Math Subject Classifications: 47A30, 93B35, 35B40, 46A30.
Key Words: Evolution family of bounded linear operators; 
           uniform exponential stability; Datko-Rolewicz theorem.