Electronic Journal of Differential Equations,
Vol. 2009(2009), No. 96, pp. 1-10.

Title: Existence of solutions for an abstract second-order
       differential equation with nonlocal conditions

Author: Eduardo Hernandez (Univ.de Sao Paulo, Brazil)

Abstract: 
 We discuss the existence of mild solutions for abstract
 second-order differential equation with nonlocal conditions.
 Also we consider some application of our results. 

Submitted December 2, 2008. Published August 11, 2009.
Math Subject Classifications: 35R10, 47D09.
Key Words: Second order differential equations; 
           cosine function of operators; abstract Cauchy problem.