- Research Article
- Open Access
Rothe time-discretization method applied to a quasilinear wave equation subject to integral conditions
- Abdelfatah Bouziani1Email author and
- Nabil Merazga1
Advances in Difference Equations20042004:932415
https://doi.org/10.1155/S1687183904401071
© Bouziani and Merazga 2004
- Received: 27 January 2004
- Published: 12 July 2004
Abstract
This paper presents a well-posedness result for an initial-boundary value problem with only integral conditions over the spatial domain for a one-dimensional quasilinear wave equation. The solution and some of its properties are obtained by means of a suitable application of the Rothe time-discretization method.
Authors’ Affiliations
(1)
Département de Mathématiques, Centre Universitaire Larbi Ben M'hidi, Oum El Bouaghi, 04000, Algeria
Copyright
© Bouziani and Merazga 2004