Electronic Journal of Differential Equations,
Vol. 2005(2005), No. 64, pp. 1-7.

Title: Existence of solutions for semilinear nonlocal Cauchy problems in
       Banach spaces
       
Author: Xingmei Xue (Southeast Univ., Nanjing, China)

Abstract: 
 In this paper, we study a semilinear differential equations
 with nonlocal initial conditions in Banach spaces.
 We derive conditions for $f$, $T(t)$, and $g$
 for the existence of mild solutions.
  
Submitted April 26, 2005. Published June 23, 2005.
Math Subject Classifications: 34G10,47D06.
Key Words: Semilinear differential equation; nonlocal initial condition; 
           completely continuous operator