摘要
In this study, we prove the existence, uniqueness, and continuous dependence upon the data of solution to integro-differential hyperbolic equation with purely nonlocal （integral） conditions. The proofs are based on a priori estimates and Laplace transform method. Finally, we obtain the solution using a numerical technique （Stehfest algorithm） by inverting the Laplace transform.
In this study, we prove the existence, uniqueness, and continuous dependence upon the data of solution to integro-differential hyperbolic equation with purely nonlocal （integral） conditions. The proofs are based on a priori estimates and Laplace transform method. Finally, we obtain the solution using a numerical technique （Stehfest algorithm） by inverting the Laplace transform.
基金
partially support by the University Putra Malaysia under the Grant Scheme having project number GP-IBT/2013/9420100
