International Journal of Mathematics and Mathematical Sciences
Volume 22 (1999), Issue 3, Pages 511-519
doi:10.1155/S0161171299225112
On a class of singular hyperbolic equation with a weighted integral condition
Said Mesloub1
and Abdelfatah Bouziani2
1Département de Mathématiques, Centre Universitaire de Tebessa, 12000, Algeria
2Département de Mathématiques, Centre Universitaire d'Oum El Baouagui, BP. 565, 04000, Algeria
Abstract
In this paper, we study a mixed problem with a nonlocal condition for a class of second order singular hyperbolic equations. We prove the existence and uniqueness of a strong solution. The proof is based on a priori estimate and on the density of the range of the operator generated by the studied problem.