Electron. J. Diff. Eqns., Vol. 2003(2003), No. 30, pp. 1-17.

A nonlocal mixed semilinear problem for second-order hyperbolic equations

Said Mesloub & Salim A. Messaoudi

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.

Show me the PDF file (229K), TEX file, and other files for this article.

Said Mesloub
Departement de Mathematiques
Universite de Tebessa
Tebessa 12002, Algerie
email: mesloubs@hotmail.com
Salim A. Messaoudi
Departement of Mathematics
King Fahd University of Petroleum & Menirals
Dahran 31261, Saudia Arabia
e-mail: messaoud@kfupm.edu.sa

Return to the EJDE web page