Advances in Difference Equations
Volume 2006 (2006), Article ID 89260, 14 pages
doi:10.1155/ADE/2006/89260

Existence for a class of discrete hyperbolic problems

Rodica Luca

Department of Mathematics, “Gheorghe Asachi” Technical University of Iaşi, Boulevard Carol I number 11, Iaşi 700506, Romania

Received 1 November 2005; Revised 10 March 2006; Accepted 7 April 2006

Copyright © 2006 Rodica Luca. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We investigate the existence and uniqueness of solutions to a class of discrete hyperbolic systems with some nonlinear extreme conditions and initial data, in a real Hilbert space.