Advances in Difference Equations
Volume 2010 (2010), Article ID 101959, 19 pages
Research Article

A Mixed Problem for Quasilinear Impulsive Hyperbolic Equations with Non Stationary Boundary and Transmission Conditions

1Azerbaijan Technical University, AZ 1073, Baki, Azerbaijan
2Institute of Mathematics and Mechanics of NAS of Azerbaijan, AZ 1141, Baku, Azerbaijan

Received 10 March 2010; Revised 13 June 2010; Accepted 26 October 2010

Academic Editor: Toka Diagana

Copyright © 2010 Akbar B. Aliev and Ulviya M. Mamedova. 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.


The initial-boundary value problem for a class of linear and nonlinear equations in Hilbert space is considers. We prove the existence and uniqueness of solution of this problem. The results of this investigation are applied to solvability of initial-boundary value problems for quasilinear impulsive hyperbolic equations with non-stationary transmission and boundary conditions.