Electronic Journal of Differential Equations,
Vol. 2003(2003), No. 51, pp. 1-10.

Title: Existence of solutions to a second order partial differential
       equation with nonlocal conditions

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

Abstract: 
 Using the cosine function theory, we prove the existence of mild and
 classical solutions for an abstract second-order Cauchy problem  with
 nonlocal conditions.
 
Submitted February 11, 2003. Published April 29, 2003.
Math Subject Classifications: 35A05, 34G20, 47D09.
Key Words: Cosine function; differential equations in abstract spaces;
           nonlocal condition.