Electronic Journal of Differential Equations,
Vol. 2003(2003), No. 30, pp. 1-17.

Title: A nonlocal mixed semilinear problem for second-order hyperbolic equations

Authors: Said Mesloub (Univ. de Tebessa, Algerie)
         Salim A. Messaoudi (King Fahd Univ., Saudia Arabia)

Abstract: 
 In this work we study a nonlinear hyperbolic one-dimensional
 problem with a nonlocal condition. We establish a blow up result
 for large initial data and a decay result for small initial data.
 
Submitted January 2, 2003. Published March 17, 2003.
Math Subject Classifications: 35L20, 35L67.
Key Words: Semilinear hyperbolic equation; integral condition;
          strong solution; existnece; uniqueness; blow up; decay.