Existence and Uniqueness for a Solution of Pseudohyperbolic equation with Nonlocal Boundary Condition

Authors

Ahcene Merad, Department of Mathematics, Faculty of Sciences, Larbi Ben M’hidi University, Oum El Bouaghi, 04000, AlgeriaFollow
Abdelfatah Bouziani, Department of Mathematics, Faculty of Sciences, Larbi Ben M’hidi University, Oum El Bouaghi, 04000, AlgeriaFollow
Serkan Araci, Department of Economics, Faculty of Economics, Administrative and Social Sciences, Hasan Kalyoncu University, TR-27410 Gaziantep, TurkeyFollow

Author Country (or Countries)

Turkey

Abstract

Motivated by a number of recent investigations, we define and investigate the various properties of a class of pseudohyperbolic equation defined on purely integral (nonlocal) conditions. We derive useful results involving this class including (for example) existence, uniqueness and continuous arising from the Laplace transform method. In addition, we make use of obtaining such a problem to solve the using a numerical technique (Stehfest algorithm) which provides to show the accuracy of the proposed method.

Recommended Citation

Merad, Ahcene; Bouziani, Abdelfatah; and Araci, Serkan (2015) "Existence and Uniqueness for a Solution of Pseudohyperbolic equation with Nonlocal Boundary Condition," Applied Mathematics & Information Sciences: Vol. 09: Iss. 4, Article 23.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss4/23