International Journal of Mathematics and Mathematical Sciences 
Volume 28 (2001), Issue 1, Pages 1-7
doi:10.1155/S0161171201011073

Development of singularities in solutions of a hyperbolic system

S. A. Messaoudi

Mathematical Sciences Department, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia

Received 10 November 2000; Revised 20 February 2001

Abstract

We consider a special type of a hyperbolic system and show that classical solutions blow up in finite time even for small initial data.