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 ...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.展开更多
基金partially support by the University Putra Malaysia under the Grant Scheme having project number GP-IBT/2013/9420100
文摘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.
