@article{article_761701, title={SOLVABILITY THE TELEGRAPH EQUATION WITH PURELY INTEGRAL CONDITIONS}, journal={TWMS Journal of Applied and Engineering Mathematics}, volume={3}, pages={117–125}, year={2013}, url={https://izlik.org/JA85JB83XE}, author={Merad, A. and Bouziani, A.}, keywords={Telegraph equation,purely integral conditions,a priori estimates,Laplace}, abstract={In this paper a numerical technique is developed for the one-dimensional telegraph equation, we prove the existence, uniqueness, and continuous dependence upon the data of solution to a telegraph equation with purely integral conditions. The proofs are based on a priori estimates and Laplace transform method. Finally, we obtain the solution by using a simple and efficient algorithm for numerical solution.}, number={1}